
Time bar (total: 31.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 7 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 8 |
| 39.3% | 34.3% | 53% | 0.1% | 0% | 12.5% | 0% | 9 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 10 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 11 |
| 56% | 47.6% | 37.4% | 0.1% | 0% | 14.8% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 19.5s | 1 555× | 5 | exit |
| 2.7s | 4 723× | 1 | valid |
| 472.0ms | 682× | 1 | invalid |
| 446.0ms | 3 533× | 0 | valid |
| 69.0ms | 699× | 0 | invalid |
ival-pow: 18.1s (80.7% of total)ival-e: 2.7s (12.1% of total)ival-log1p: 495.0ms (2.2% of total)adjust: 466.0ms (2.1% of total)ival-mult: 442.0ms (2% of total)ival-sub: 164.0ms (0.7% of total)exact: 16.0ms (0.1% of total)ival-true: 13.0ms (0.1% of total)ival-assert: 8.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 2 | (2.0438503762808822e+141 -0.008306501738478233 2.1237030643247562e-161) | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 150 | 44 | (-7.287111682375845e-196 6.618981476141168e-187 1.2945328866330675e-155) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 20 | 0 | - | 2 | (-2.944751985009824e+274 -1.8935949271982427e-32 1.0566956381976294e-278) | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 2 | 0 | - | 0 | - | (pow.f64 (E.f64) x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (E.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | sensitivity | 193 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 39 | 1 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 18 | 0 |
pow.f64 | (pow.f64 (E.f64) x) | sensitivity | 2 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | overflow | 1 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) | overflow | 1 | |
| ↳ | (pow.f64 (E.f64) x) | overflow | 1 | |
| ↳ | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 178 | 0 |
| - | 50 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 178 | 0 | 0 |
| - | 50 | 1 | 27 |
| number | freq |
|---|---|
| 0 | 28 |
| 1 | 203 |
| 2 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 171.0ms | 312× | 1 | valid |
| 20.0ms | 200× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 100.0ms (60.4% of total)ival-e: 23.0ms (13.9% of total)adjust: 17.0ms (10.3% of total)ival-mult: 10.0ms (6% of total)ival-log1p: 7.0ms (4.2% of total)ival-sub: 5.0ms (3% of total)ival-add: 4.0ms (2.4% of total)ival-true: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 93 | 113 |
| 2 | 148 | 113 |
| 3 | 287 | 113 |
| 4 | 487 | 113 |
| 5 | 1531 | 113 |
| 6 | 7821 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 41 | 12 |
| 3 | 77 | 12 |
| 4 | 169 | 12 |
| 5 | 751 | 12 |
| 0 | 8560 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(negabs c)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.1% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
Compiled 12 to 11 computations (8.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) | |
| cost-diff | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 0 | 18 | 51 |
| 1 | 27 | 51 |
| 2 | 41 | 51 |
| 3 | 77 | 51 |
| 4 | 169 | 51 |
| 5 | 751 | 51 |
| 0 | 8560 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
y |
| Outputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(fma.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05763953966266516 | (pow.f64 (E.f64) x) | |
| accuracy | 4.4776719664783515 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 34.85731348973643 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 36.39983460961468 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 100.0ms | 156× | 1 | valid |
| 12.0ms | 100× | 0 | valid |
Compiled 53 to 13 computations (75.5% saved)
ival-pow: 41.0ms (41.2% of total)ival-e: 30.0ms (30.2% of total)ival-sub: 9.0ms (9% of total)adjust: 6.0ms (6% of total)ival-log1p: 6.0ms (6% of total)ival-mult: 5.0ms (5% of total)ival-add: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 82.0ms | c | @ | 0 | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 39.0ms | y | @ | inf | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 35.0ms | x | @ | -inf | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 35.0ms | c | @ | -inf | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
| 28.0ms | x | @ | inf | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1291 |
| 1 | 1139 | 1112 |
| 2 | 5001 | 1098 |
| 0 | 8097 | 1021 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* x (* y (log (E)))) |
(*.f64 y x) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 c y) x) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))) x (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
(* x (log (E))) |
x |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(+ 1 (* x (log (E)))) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(+ 1 (* y (- (pow (E) x) 1))) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (pow (E) x) 1)) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(- (pow (E) x) 1) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow (E) x) |
(pow.f64 (E.f64) x) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) |
(* c (* y (- (pow (E) x) 1))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) #s(literal 1 binary64)) y) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 c (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 0 | 18 | 46 |
| 1 | 72 | 46 |
| 0 | 508 | 36 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
| Outputs |
|---|
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(log.f64 (fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) y) |
(*.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) y) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) y) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(fma.f64 (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (E.f64) x) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))) |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (E.f64) x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x)))) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x)) |
(*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (E.f64) x)) |
(pow.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (E.f64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (E.f64) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (E.f64) x) |
(exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 x #s(literal 1 binary64))) (sinh.f64 (*.f64 x #s(literal 1 binary64)))) |
Compiled 3 086 to 708 computations (77.1% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 16 | 130 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 16 | 131 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
| 82.5% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))))) | |
| 23.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) | |
| 29.9% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) | |
| ▶ | 30.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
| 31.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) | |
| ▶ | 33.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 21.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 11.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) | |
| 46.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 56.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| 43.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)) | |
| 43.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| ▶ | 43.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
| 44.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ▶ | 50.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 754 to 568 computations (24.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) | |
| cost-diff | 1 | (pow.f64 (E.f64) x) | |
| cost-diff | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 c y) | |
| cost-diff | 0 | (*.f64 (*.f64 c y) x) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| cost-diff | 0 | (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) | |
| cost-diff | 2 | (*.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 341 |
| 0 | 74 | 328 |
| 1 | 140 | 269 |
| 2 | 347 | 269 |
| 3 | 1156 | 269 |
| 4 | 6378 | 269 |
| 0 | 8134 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
y |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) |
(*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
y |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
c |
(fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(expm1.f64 x) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) c) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) x #s(literal 1 binary64)))) c) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) |
(*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) |
y |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) c) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) c) y) |
(*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) c) |
c |
(fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) |
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (expm1.f64 x) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(expm1.f64 x) |
(pow.f64 (E.f64) x) |
(exp.f64 x) |
(E.f64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.070349923888063 | (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) | |
| accuracy | 3.96863893150514 | (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) | |
| accuracy | 15.499166972596166 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) | |
| accuracy | 36.39983460961468 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 4.4776719664783515 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) | |
| accuracy | 20.83293649737394 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) | |
| accuracy | 34.85731348973643 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 y x #s(literal 1 binary64)) | |
| accuracy | 4.4776719664783515 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| accuracy | 16.3822297645008 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 34.85731348973643 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (*.f64 c y) | |
| accuracy | 6.433777589951474 | (*.f64 (*.f64 c y) x) | |
| accuracy | 29.956822575451444 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0.00390625 | (expm1.f64 (*.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.24209659696172653 | (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) | |
| accuracy | 4.4776719664783515 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
| 212.0ms | 157× | 1 | valid |
| 33.0ms | 99× | 0 | valid |
Compiled 285 to 39 computations (86.3% saved)
ival-pow: 76.0ms (36.8% of total)ival-mult: 65.0ms (31.5% of total)adjust: 16.0ms (7.8% of total)ival-pow2: 12.0ms (5.8% of total)ival-e: 10.0ms (4.8% of total)ival-add: 9.0ms (4.4% of total)ival-log1p: 6.0ms (2.9% of total)ival-expm1: 5.0ms (2.4% of total)const: 4.0ms (1.9% of total)ival-sub: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
x |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* (pow x 2) (* y (pow (log (E)) 2))) |
(* (pow x 2) (+ (* x (* y (pow (log (E)) 3))) (* y (pow (log (E)) 2)))) |
(* (pow x 2) (+ (* x (+ (* x (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* y (pow (log (E)) 3)))) (* y (pow (log (E)) 2)))) |
(* (pow x 2) (+ (* x (+ (* x (+ (* x (* y (+ (* 1/12 (pow (log (E)) 5)) (* 1/6 (pow (log (E)) 5))))) (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4)))))) (* y (pow (log (E)) 3)))) (* y (pow (log (E)) 2)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/6 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ y x)))) |
(* (pow x 3) (+ (* 1/6 y) (+ (* 1/2 (/ y x)) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 y) (+ (* 1/2 (/ y x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(- (exp x) 1) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* y (pow (- (pow (E) x) 1) 2)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y x)) x)) (* -1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)) x)) (* -1/6 y)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(+ 1 (* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (/ 1 y))) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* x (* y (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)))) |
(* -1 (* y (- (* x (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 116.0ms | c | @ | -inf | ((* x 1) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (- (exp (* x 1)) 1) (+ (* 1/6 x) 1/2) (* (pow (- (pow (E) x) 1) 2) y)) |
| 87.0ms | y | @ | 0 | ((* x 1) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (- (exp (* x 1)) 1) (+ (* 1/6 x) 1/2) (* (pow (- (pow (E) x) 1) 2) y)) |
| 57.0ms | c | @ | 0 | ((* x 1) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (- (exp (* x 1)) 1) (+ (* 1/6 x) 1/2) (* (pow (- (pow (E) x) 1) 2) y)) |
| 35.0ms | c | @ | inf | ((* x 1) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (- (exp (* x 1)) 1) (+ (* 1/6 x) 1/2) (* (pow (- (pow (E) x) 1) 2) y)) |
| 32.0ms | x | @ | inf | ((* x 1) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (- (exp (* x 1)) 1) (+ (* 1/6 x) 1/2) (* (pow (- (pow (E) x) 1) 2) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 2681 |
| 1 | 2523 | 2505 |
| 0 | 8748 | 2197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
x |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* (pow x 2) (* y (pow (log (E)) 2))) |
(* (pow x 2) (+ (* x (* y (pow (log (E)) 3))) (* y (pow (log (E)) 2)))) |
(* (pow x 2) (+ (* x (+ (* x (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* y (pow (log (E)) 3)))) (* y (pow (log (E)) 2)))) |
(* (pow x 2) (+ (* x (+ (* x (+ (* x (* y (+ (* 1/12 (pow (log (E)) 5)) (* 1/6 (pow (log (E)) 5))))) (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4)))))) (* y (pow (log (E)) 3)))) (* y (pow (log (E)) 2)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/6 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ y x)))) |
(* (pow x 3) (+ (* 1/6 y) (+ (* 1/2 (/ y x)) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 y) (+ (* 1/2 (/ y x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(- (exp x) 1) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* y (pow (- (pow (E) x) 1) 2)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y x)) x)) (* -1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)) x)) (* -1/6 y)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(+ 1 (* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (/ 1 y))) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* x (* y (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)))) |
(* -1 (* y (- (* x (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)) (/ 1 y)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* c y) |
(*.f64 c y) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) c) |
x |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y y) x) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x)) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y y) x) (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x (* y (log (E)))) |
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(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 c (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (/ 1 y))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) (*.f64 y y)) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (* y (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)))) |
(*.f64 (*.f64 (neg.f64 x) y) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 (* y (- (* x (- (* -1 (* x (+ 1/2 (* 1/6 x)))) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 261 |
| 0 | 74 | 248 |
| 1 | 271 | 204 |
| 0 | 2001 | 198 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
| Outputs |
|---|
x |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)))) |
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) y) |
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 (*.f64 c y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 c x) y) |
(*.f64 (*.f64 x c) y) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 (*.f64 c y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c (*.f64 y x)) |
(*.f64 y (*.f64 c x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c y) x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 c y))) |
(*.f64 x (*.f64 c y)) |
(*.f64 c y) |
(*.f64 y c) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) c)) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y x)))) |
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(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) |
(*.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (expm1.f64 x) y) (expm1.f64 x)) |
(*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) |
Compiled 11 548 to 1 878 computations (83.7% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 17 | 347 |
| Fresh | 8 | 3 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 341 | 22 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| 82.5% | (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)))) c) | |
| ▶ | 92.6% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| 56.0% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) | |
| 56.9% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| ▶ | 55.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 16.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 46.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) | |
| 23.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) | |
| ✓ | 33.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 8.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))))) | |
| 21.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 56.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| 74.5% | #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) | |
| 69.9% | #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| 70.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) | |
| ▶ | 51.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 26.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))))) y)) | |
| ▶ | 49.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
| ✓ | 50.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| ▶ | 42.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
| 43.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) | |
| 44.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
Compiled 1 241 to 870 computations (29.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) | |
| cost-diff | 1 | (pow.f64 (E.f64) x) | |
| cost-diff | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) | |
| cost-diff | 0 | (*.f64 x c) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 (expm1.f64 x) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (expm1.f64 x) y)) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 613 |
| 0 | 109 | 591 |
| 1 | 216 | 518 |
| 2 | 599 | 511 |
| 3 | 2338 | 507 |
| 4 | 6950 | 507 |
| 0 | 8038 | 479 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) |
(*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) |
c |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) |
(fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 7/12 binary64) y) |
#s(literal 7/12 binary64) |
#s(literal 1/24 binary64) |
x |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 c y) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y) |
(*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
c |
(fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 (*.f64 c x) y) |
(*.f64 x c) |
(*.f64 c x) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) x)) x y)) x))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) x)) x y)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) x)) x y)) x) |
(fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) |
(*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) x)) x y)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) x)) c) |
(*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) |
(*.f64 (*.f64 c y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) |
c |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) |
(*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) |
(fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) |
(*.f64 #s(literal 7/12 binary64) y) |
#s(literal 7/12 binary64) |
#s(literal 1/24 binary64) |
x |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 c y) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) |
y |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (*.f64 c y))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (*.f64 c y)) |
(*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) c) |
c |
(fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) |
(pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (expm1.f64 x) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(expm1.f64 x) |
(pow.f64 (E.f64) x) |
(exp.f64 x) |
(E.f64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
y |
#s(literal -1/2 binary64) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.718579712107482 | (E.f64) | |
| accuracy | 12.790981306326566 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) | |
| accuracy | 20.653109645658148 | #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 31.425477005483064 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.24209659696172653 | (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| accuracy | 4.219769981500908 | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| accuracy | 20.653109645658148 | #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 4.58118470299 | (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) | |
| accuracy | 6.557395742040896 | (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) | |
| accuracy | 12.790981306326566 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) | |
| accuracy | 17.000993434785492 | #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)) | |
| accuracy | 0.0 | (*.f64 x c) | |
| accuracy | 3.7477524228388517 | (*.f64 (*.f64 x c) y) | |
| accuracy | 25.15858298864434 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.00390625 | (expm1.f64 x) | |
| accuracy | 0.01953125 | (*.f64 (expm1.f64 x) y) | |
| accuracy | 0.24209659696172653 | (log1p.f64 (*.f64 (expm1.f64 x) y)) | |
| accuracy | 4.219769981500908 | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| 184.0ms | 135× | 1 | valid |
| 141.0ms | 36× | 5 | exit |
| 70.0ms | 85× | 0 | valid |
Compiled 484 to 57 computations (88.2% saved)
ival-mult: 107.0ms (32.5% of total)ival-pow: 64.0ms (19.5% of total)adjust: 49.0ms (14.9% of total)ival-add: 32.0ms (9.7% of total)const: 24.0ms (7.3% of total)ival-expm1: 20.0ms (6.1% of total)ival-e: 14.0ms (4.3% of total)ival-log1p: 11.0ms (3.3% of total)ival-pow2: 5.0ms (1.5% of total)ival-sub: 3.0ms (0.9% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x)) |
(fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(E.f64) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(* c (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
(* c (* x (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))))))) |
(* -1 (* c (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y))))))))) |
(* -1 (* c (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y))))))) |
(* -1 (* c (* x (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y)))))))))) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* c y) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
(+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))))) |
(+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y))))))))) |
(* c (* y (+ 1/2 (* -1/2 y)))) |
(+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))) |
(+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y))))))) |
(* y (+ 1/6 (* -1/2 y))) |
(+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
1 |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(* x (+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y)))))))) |
(* x (+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* c (* (pow x 3) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c y) (pow x 3)) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* c (* (pow x 2) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 2) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 2) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* x (* y (+ 1/24 (* -7/24 y)))) |
(* x (+ (* y (+ 1/24 (* -7/24 y))) (/ (* y (+ 1/6 (* -1/2 y))) x))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* c (* (pow x 4) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c y) (pow x 3)) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* c (* y (+ 1/6 (* -1/2 y)))) (/ (* c (* y (+ 1/2 (* -1/2 y)))) x)) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x))) x)) (* c (* y (+ 1/6 (* -1/2 y))))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/24 (* -7/24 y)))) (* -1 (/ (* y (+ 1/6 (* -1/2 y))) x))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x)) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) |
(* y (+ c (+ (* x (* y (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))) |
(* y (+ (* 1/2 c) (+ (* c (* x (+ 1/6 (* 1/24 x)))) (* y (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))))) |
(* y (+ 1/6 (* 1/24 x))) |
(* y (+ 1/6 (+ (* 1/24 x) (* y (- (* -7/24 x) 1/2))))) |
1/24 |
(+ 1/24 (* -7/24 y)) |
(* x (* y (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) (* (pow x 2) (* y (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* x (* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (+ (* x (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) (+ (/ c y) (/ (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))) y)))) |
(* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) |
(* (pow y 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (+ (* c (* x (- (* -7/24 x) 1/2))) (/ (* c (* x (+ 1/6 (* 1/24 x)))) y))))) |
(* (pow y 2) (- (* -7/24 x) 1/2)) |
(* (pow y 2) (- (+ (* -7/24 x) (+ (* 1/24 (/ x y)) (* 1/6 (/ 1 y)))) 1/2)) |
(* -7/24 y) |
(* y (- (* 1/24 (/ 1 y)) 7/24)) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (+ (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) (/ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))))) y)) (* x (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))) y)) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2)) |
(* -1 (* y (- 7/24 (* 1/24 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6))))))) y)) (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | c | @ | -inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (+ (* (* 7/12 y) -1/2) 1/24) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (- (pow (E) x) 1) (E)) |
| 35.0ms | c | @ | 0 | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (+ (* (* 7/12 y) -1/2) 1/24) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (- (pow (E) x) 1) (E)) |
| 32.0ms | x | @ | inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (+ (* (* 7/12 y) -1/2) 1/24) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (- (pow (E) x) 1) (E)) |
| 28.0ms | c | @ | inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (+ (* (* 7/12 y) -1/2) 1/24) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (- (pow (E) x) 1) (E)) |
| 21.0ms | x | @ | -inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (+ (* (* 7/12 y) -1/2) 1/24) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (- (pow (E) x) 1) (E)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 3388 |
| 1 | 2748 | 3167 |
| 0 | 8436 | 2703 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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1 |
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(- (pow (E) x) 1) |
(pow (E) x) |
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(* -1 (* x (+ (* -1 (* y (+ 1/24 (* -7/24 y)))) (* -1 (/ (* y (+ 1/6 (* -1/2 y))) x))))) |
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1/24 |
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(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))))) y)) (* x (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))) y)) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2)) |
(* -1 (* y (- 7/24 (* 1/24 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6))))))) y)) (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* c x) |
(*.f64 c x) |
(* c (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) x y) c) |
(* c (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) c) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) c) |
(* c (* x (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) x y) x) c) |
(* -1 (* c (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y))))))))) |
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x))) x (neg.f64 y))) |
(* -1 (* c (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)))) |
(* -1 (* c (* x (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y)))))))))) |
(*.f64 (*.f64 (neg.f64 c) x) (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x))) x (neg.f64 y))) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y y) x) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)))) x)) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) #s(literal 1/6 binary64))) x)) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y y) x) (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)))) x)) x (*.f64 c y)) x) |
(* c y) |
(*.f64 c y) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
(*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))))) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) |
(+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y))))))))) |
(fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) |
(* c (* y (+ 1/2 (* -1/2 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) |
(+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))) |
(*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) |
(+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y))))))) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) |
(* y (+ 1/6 (* -1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) |
(+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) |
(* x (log (E))) |
x |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (log (E)))) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x) |
(* x (+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y)))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(- (exp x) 1) |
(expm1.f64 x) |
(* c (* (pow x 3) (* y (+ 1/24 (* -7/24 y))))) |
(*.f64 (*.f64 c (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y)) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(*.f64 (*.f64 c (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) x) (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 c y) (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c y) (pow x 3)) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
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(* c (* (pow x 2) (* y (+ 1/24 (* -7/24 y))))) |
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(* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) |
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (+ (* c (* x (- (* -7/24 x) 1/2))) (/ (* c (* x (+ 1/6 (* 1/24 x)))) y))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x) c (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y))) (*.f64 y y)) |
(* (pow y 2) (- (* -7/24 x) 1/2)) |
(*.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -7/24 x) (+ (* 1/24 (/ x y)) (* 1/6 (/ 1 y)))) 1/2)) |
(*.f64 (-.f64 (fma.f64 #s(literal -7/24 binary64) x (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* -7/24 y) |
(*.f64 #s(literal -7/24 binary64) y) |
(* y (- (* 1/24 (/ 1 y)) 7/24)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) y) #s(literal 7/24 binary64)) y) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 y y) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) (*.f64 y y)) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x)) |
(* (pow y 2) (+ (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) (/ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y)) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))))) y)) (* x (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) x (neg.f64 c)) (neg.f64 y))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6)))) y)) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(*.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) (neg.f64 y))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) (*.f64 y y)) |
(* -1 (* y (- 7/24 (* 1/24 (/ 1 y))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 7/24 binary64) (/.f64 #s(literal 1/24 binary64) y))) |
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6))))))) y)) (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) x (neg.f64 c)) y) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 439 |
| 0 | 109 | 417 |
| 1 | 416 | 365 |
| 0 | 3137 | 351 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x)) |
(fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(E.f64) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)))) |
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(expm1.f64 x) |
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(fma.f64 (*.f64 c x) y (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) y) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) y) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(fma.f64 c (*.f64 y x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(fma.f64 c (*.f64 y x) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(fma.f64 y (*.f64 c x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(fma.f64 y (*.f64 c x) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 c y)) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 c y)) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(fma.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) (*.f64 (*.f64 c x) y)) |
(fma.f64 x (*.f64 c y) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(fma.f64 x (*.f64 c y) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x) (*.f64 (*.f64 c x) y)) |
(+.f64 (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x)) (*.f64 (*.f64 c x) y)) |
(+.f64 (*.f64 (*.f64 c x) y) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x)) |
(+.f64 (*.f64 (*.f64 c x) y) (*.f64 x (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x))) |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(E.f64) |
Compiled 24 221 to 2 436 computations (89.9% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 19 | 409 |
| Fresh | 10 | 5 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 402 | 29 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) | |
| 56.4% | (*.f64 (log1p.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) y)) c) | |
| ✓ | 92.6% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| 28.5% | (*.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64))) y)) c) | |
| 56.0% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| ▶ | 56.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
| ✓ | 55.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 16.4% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ▶ | 46.3% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
| 23.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) | |
| ✓ | 33.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 8.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))))) | |
| 21.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| ▶ | 74.5% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
| 69.9% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| 70.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) | |
| ✓ | 51.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ✓ | 50.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| 40.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) | |
| ▶ | 26.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
| 16.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 3 binary64))) x) (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x)) (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)))))) | |
| 42.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) | |
| 44.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) | |
| 45.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) | |
| 11.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) x)) (pow.f64 x #s(literal 3 binary64)))) x))) | |
| 19.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) | |
| ▶ | 48.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
| 27.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) | |
| 18.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
Compiled 2 810 to 1 648 computations (41.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) | |
| cost-diff | 0 | #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)) | |
| cost-diff | 0 | #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 1286 |
| 0 | 185 | 1286 |
| 1 | 389 | 1257 |
| 2 | 1201 | 1224 |
| 3 | 5213 | 1194 |
| 0 | 8424 | 1150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) |
(pow.f64 (expm1.f64 x) #s(literal 3 binary64)) |
(expm1.f64 x) |
x |
#s(literal 3 binary64) |
c |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) |
(pow.f64 (expm1.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
y |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) |
(pow.f64 (expm1.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (expm1.f64 x) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) |
#s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y) |
(fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) |
c |
(fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) |
#s(literal -7/24 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) |
(*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) |
(-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) |
(*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) |
c |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) |
(fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) |
#s(literal -7/24 binary64) |
#s(literal 1/24 binary64) |
x |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 c y) #s(literal 2 binary64)) |
(*.f64 c y) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)) |
(*.f64 (neg.f64 y) c) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (*.f64 y y) (*.f64 c (fma.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) y))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) c)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 c (fma.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) y))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) c)) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) |
(fma.f64 (*.f64 y y) (*.f64 c (fma.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) y))) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) c)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 c (fma.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) y))) y (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c))) |
(fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) |
(*.f64 c (fma.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) y))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) |
(pow.f64 (expm1.f64 x) #s(literal 3 binary64)) |
(expm1.f64 x) |
x |
#s(literal 3 binary64) |
c |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c)) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) |
(pow.f64 (expm1.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
y |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) |
(pow.f64 (expm1.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (expm1.f64 x) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c))) y)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c))) y))) |
#s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)) |
#s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c))) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c))) y) |
(fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c))) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) |
c |
(fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) |
#s(literal -7/24 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) x) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) |
(*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y)) (/.f64 x c)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y)) (/.f64 x c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y)) (/.f64 x c)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) |
(-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) |
(*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) |
(*.f64 (*.f64 c x) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) |
(*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) |
c |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) |
(fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) |
#s(literal -7/24 binary64) |
#s(literal 1/24 binary64) |
x |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 c y) #s(literal 2 binary64)) |
(*.f64 c y) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y) c) |
(*.f64 (neg.f64 y) c) |
(neg.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.320281537453095 | (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) | |
| accuracy | 14.758068798299599 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) | |
| accuracy | 18.760606997181416 | #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) | |
| accuracy | 33.653428849503705 | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 4.4737657164783515 | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| accuracy | 22.29660195574272 | #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 3.938490165516838 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y) | |
| accuracy | 7.259182101283772 | (*.f64 (*.f64 x x) y) | |
| accuracy | 14.758068798299599 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) | |
| accuracy | 18.760606997181416 | #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 4.4737657164783515 | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) | |
| accuracy | 29.751864734073735 | #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) | |
| accuracy | 4.015664231978869 | (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) | |
| accuracy | 4.346505112235728 | (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) | |
| accuracy | 5.6603350281681335 | (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) | |
| accuracy | 14.649140489918864 | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
| 390.0ms | 147× | 1 | valid |
| 132.0ms | 100× | 0 | valid |
| 63.0ms | 4× | 5 | exit |
| 12.0ms | 5× | 2 | valid |
Compiled 1 013 to 110 computations (89.1% saved)
ival-mult: 181.0ms (33.5% of total)ival-pow: 103.0ms (19% of total)ival-add: 81.0ms (15% of total)adjust: 55.0ms (10.2% of total)ival-expm1: 46.0ms (8.5% of total)ival-pow2: 27.0ms (5% of total)const: 23.0ms (4.3% of total)ival-e: 11.0ms (2% of total)ival-log1p: 7.0ms (1.3% of total)ival-sub: 4.0ms (0.7% of total)ival-div: 3.0ms (0.6% of total)exact: 1.0ms (0.2% of total)ival-neg: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) |
#s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) |
(*.f64 (*.f64 x x) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))) |
(-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) |
| Outputs |
|---|
(* c (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3)))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))) |
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
(* c (* x (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))))))) |
(* c (+ (* -1 y) (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(* c (pow (- (exp x) 1) 2)) |
(* c (pow (- (exp x) 1) 3)) |
(* c (* y (pow (- (exp x) 1) 4))) |
(* c (* y (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) |
(/ (* c (* x (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2)))) (+ (* -1 y) (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(* (pow c 2) (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2))) |
(* -1 (* c (+ (* -1/3 (pow (- (exp x) 1) 3)) (* 1/4 (* y (pow (- (exp x) 1) 4)))))) |
(* -1 (* c (* y (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/3 (pow (- (exp x) 1) 3)) (* 1/4 (* y (pow (- (exp x) 1) 4))))))))))) |
(* -1 (* c (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/3 (pow (- (exp x) 1) 3)) (* 1/4 (* y (pow (- (exp x) 1) 4)))))))))) |
(* -1 (* c (+ (* -1 (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (- (* -1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) 1))))) |
(* -1 (* c (* x (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y)))))))))) |
(* -1 (* c (+ y (* -1 (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))))) |
(* -1 (* c (* y (+ (* -1 (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (- (* -1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) 1)))))) |
(* -1 (/ (* c (* x (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2)))) (+ y (* -1 (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))))) |
(* 1/3 (* c (pow x 3))) |
(* (pow x 3) (+ (* 1/3 c) (* x (+ (* -1/4 (* c y)) (* 1/2 c))))) |
(* (pow x 3) (+ (* 1/3 c) (* x (+ (* -1/4 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 5/12 c)))))))) |
(* (pow x 3) (+ (* 1/3 c) (* x (+ (* -1/4 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (+ (* 5/12 c) (* x (+ (* -13/24 (* c y)) (* 1/4 c))))))))))) |
(* c (* x y)) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))) |
(* x (+ (* c y) (* x (+ (* x (* y (+ (* 1/6 c) (* y (+ (* -1/2 c) (* 1/3 (* c y))))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* 1/24 c) (* y (+ (* -7/24 c) (* y (+ (* -1/4 (* c y)) (* 1/2 c)))))))) (* y (+ (* 1/6 c) (* y (+ (* -1/2 c) (* 1/3 (* c y)))))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* c x) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (* 1/2 c))))) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* 1/6 c) (* y (+ (* -1/2 c) (* 1/3 (* c y))))))))))) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* 1/6 c) (+ (* x (+ (* 1/24 c) (* y (+ (* -7/24 c) (* y (+ (* -1/4 (* c y)) (* 1/2 c))))))) (* y (+ (* -1/2 c) (* 1/3 (* c y)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 1/6 c)))))))) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (+ (* 1/6 c) (* x (+ (* -7/24 (* c y)) (* 1/24 c))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(* x (+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y)))))))) |
(* x (+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* y (+ 1/6 (* -1/2 y))) |
(+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))) |
(* -1 (* c y)) |
(+ (* -1 (* c y)) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
(+ (* -1 (* c y)) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))))) |
(+ (* -1 (* c y)) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y))))))))) |
(* c (pow x 2)) |
(* (pow x 2) (+ c (* c x))) |
(* (pow x 2) (+ c (* x (+ c (* 7/12 (* c x)))))) |
(* (pow x 2) (+ c (* x (+ c (* x (+ (* 1/4 (* c x)) (* 7/12 c))))))) |
(* c (pow x 3)) |
(* (pow x 3) (+ c (* 3/2 (* c x)))) |
(* (pow x 3) (+ c (* x (+ (* 5/4 (* c x)) (* 3/2 c))))) |
(* (pow x 3) (+ c (* x (+ (* 3/2 c) (* x (+ (* 3/4 (* c x)) (* 5/4 c))))))) |
(* c (* (pow x 4) y)) |
(* (pow x 4) (+ (* 2 (* c (* x y))) (* c y))) |
(* (pow x 4) (+ (* c y) (* x (+ (* 2 (* c y)) (* 13/6 (* c (* x y))))))) |
(* (pow x 4) (+ (* c y) (* x (+ (* 2 (* c y)) (* x (+ (* 5/3 (* c (* x y))) (* 13/6 (* c y)))))))) |
(* (pow x 2) y) |
(* x (+ (* c y) (* x (+ (* x (* y (+ (* -1/2 (* c y)) (* 1/6 c)))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) (* y (+ (* -1/2 (* c y)) (* 1/6 c))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* x (+ (* c y) (* x (- (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* -1 (* c (* y (+ 1/2 (* -1/2 y))))))))) |
(* x (+ (* c y) (* x (- (* x (- (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* -1 (* c (* y (+ 1/6 (* -1/2 y))))))) (* -1 (* c (* y (+ 1/2 (* -1/2 y))))))))) |
(* -1 (* (pow c 2) (pow y 2))) |
(- (* (pow c 2) (* (pow x 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2)))) (* (pow c 2) (pow y 2))) |
(- (* (pow x 2) (+ (* 2 (* (pow c 2) (* x (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))))) (* (pow c 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2))))) (* (pow c 2) (pow y 2))) |
(- (* (pow x 2) (+ (* x (+ (* 2 (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y)))))) (* (pow c 2) (* x (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2))))))) (* (pow c 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2))))) (* (pow c 2) (pow y 2))) |
(+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* (pow x 4) (+ (* -7/24 (* c y)) (* 1/24 c))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (* 1/6 (/ c x)))))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -1/2 (/ (* c y) (pow x 2))) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (+ (* 1/6 (/ c x)) (* 1/2 (/ c (pow x 2))))))))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -1/2 (/ (* c y) (pow x 2))) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (+ (* 1/6 (/ c x)) (+ (* 1/2 (/ c (pow x 2))) (/ c (pow x 3))))))))) |
(* c (* (pow x 4) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c y) (pow x 3)) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* x (* y (+ 1/24 (* -7/24 y)))) |
(* x (+ (* y (+ 1/24 (* -7/24 y))) (/ (* y (+ 1/6 (* -1/2 y))) x))) |
(* c (* (pow x 3) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 3) (+ (* -1 (/ (* c y) (pow x 3))) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* (pow x 4) (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (+ (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x) (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (pow x 2))))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (+ (/ (* c y) (pow x 3)) (+ (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x) (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (pow x 2)))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (* c (* y (+ 1/24 (* -7/24 y))))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* (pow x 2) (* y (+ 1/24 (* -7/24 y))))))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (+ (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)) (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 2) (+ 1/24 (* -7/24 y)))))))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (* (pow x 3) (+ 1/24 (* -7/24 y))))) (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* (pow x 2) (* y (+ 1/24 (* -7/24 y)))))))) (+ (* -1 (/ (* c y) (pow x 3))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (+ (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)) (+ (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 2) (+ 1/24 (* -7/24 y)))) (+ (/ (* (+ 1/6 (* -1/2 y)) (- (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y)))) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y)))))) (* (pow x 3) (+ 1/24 (* -7/24 y)))) (/ (* (+ 1/2 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 3) (+ 1/24 (* -7/24 y))))))))))) |
(* (pow c 2) (* (pow x 6) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2)))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (+ (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))) (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (pow x 2))))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (pow x 3))) (+ (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))) (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (pow x 2)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1/6 c) (* 1/2 (* c y))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c y)) (+ (* 1/2 c) (/ c x))) x)) (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x)) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/24 (* -7/24 y)))) (* -1 (/ (* y (+ 1/6 (* -1/2 y))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* c (* y (+ 1/6 (* -1/2 y)))) (/ (* c (* y (+ 1/2 (* -1/2 y)))) x)) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (/ (* c y) x)) x)) (* c (* y (+ 1/6 (* -1/2 y))))) x))))) |
(* (pow x 4) (+ (* -1 (/ (* y (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) x)) (* y (+ (* -1/6 c) (* 1/2 (* c y))))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (/ (* c y) x)) x)) (* y (+ (* -1/6 c) (* 1/2 (* c y))))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* x (* y (+ 1/24 (* -7/24 y))))))) (+ (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x)) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* x (+ 1/24 (* -7/24 y))))))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y))))) (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y))))))) (* 2 (/ (* c (* y (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (* x (+ 1/24 (* -7/24 y)))))) (+ (* -1 (/ (* c y) x)) (+ (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y))))) (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y))))))) (* x (+ 1/24 (* -7/24 y))))) (/ (* (+ 1/2 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* x (+ 1/24 (* -7/24 y))))))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y)))))) (* -1 (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) x))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y)))))) (* -1 (/ (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) x)) (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2))))) x))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* 1/3 (* c (pow (- (exp x) 1) 3))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* c (- (exp x) 1)) |
(+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) |
(+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(+ (* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* x (* y (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) (* (pow x 2) (* y (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))))) |
(* y (+ 1/6 (* 1/24 x))) |
(* y (+ 1/6 (+ (* 1/24 x) (* y (- (* -7/24 x) 1/2))))) |
(* y (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(* y (+ (* -1 c) (+ (* c (* x (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* x (* y (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(/ (* x (* y (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(* y (+ (* y (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* y (+ (* y (- (+ (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (* y (- (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* y (+ (* y (- (+ (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (* y (- (+ (* -1 (/ (* c (* x (* y (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* (pow y 2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) |
(* (pow y 2) (- (+ (* 2 (* (pow c 2) (* (pow x 2) (* y (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2)))) (pow c 2))) |
(* (pow y 2) (- (+ (* y (+ (* 2 (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) (* (pow c 2) (* (pow x 2) (* y (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2)))))) (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2)))) (pow c 2))) |
(* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) |
(* y (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(* -1/4 (* c (* (pow y 4) (pow (- (exp x) 1) 4)))) |
(* (pow y 4) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* (pow y 4) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y))))) |
(* (pow y 4) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (+ (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (/ (* c (- (exp x) 1)) (pow y 3)))))) |
(* -1/4 (* c (* (pow y 3) (pow (- (exp x) 1) 4)))) |
(* (pow y 3) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* (pow y 3) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y))))) |
(* (pow y 3) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (+ (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (/ (* c (- (exp x) 1)) (pow y 3)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* y (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (+ (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) (/ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (* -7/24 x) 1/2)) |
(* (pow y 2) (- (+ (* -7/24 x) (+ (* 1/24 (/ x y)) (* 1/6 (/ 1 y)))) 1/2)) |
(* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* (pow y 2) (+ (* -1 (/ c y)) (+ (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)))) |
(* c (* (pow x 2) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* (pow y 2) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) (+ (/ c (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (+ (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))))))) |
(* (pow y 2) (- (+ (* -1 (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))))) (* c (* x (* (pow y 3) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (/ c (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (+ (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))))))) |
(* (pow c 2) (* (pow x 2) (* (pow y 4) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2)))) |
(* (pow y 4) (+ (* 2 (/ (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(* (pow y 4) (- (+ (* 2 (/ (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) y)) (+ (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (/ (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow y 2)))) (/ (pow c 2) (pow y 2)))) |
(* -1 (* y (+ (* -1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1/3 (* c (pow (- (exp x) 1) 3))) (* 1/2 (/ (* c (pow (- (exp x) 1) 2)) y))) y)) (* -1/4 (* c (pow (- (exp x) 1) 4))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)) y)) (* -1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* -1/4 (* c (pow (- (exp x) 1) 4))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) y)) (* 1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c (- (exp x) 1)) y)) (* 1/2 (* c (pow (- (exp x) 1) 2)))) y)) (* 1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* -1 (* y (+ (* -1 (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* -1 (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6))))))) y)) (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2)) |
(* (pow y 2) (+ (* -1 (/ (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) y)) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) y)) (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2))))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))))) (* c (* x (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) y)) (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2))))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 4) (+ (* -2 (/ (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (pow c 2)) y)) (* 2 (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | c | @ | 0 | ((+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) c) (* (* (pow (- (exp x) 1) 4) y) c) (* (* x x) y) (* (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) y) (+ (* 1/6 x) 1/2) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (/ (* (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) x) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c))) (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2))) |
| 62.0ms | c | @ | inf | ((+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) c) (* (* (pow (- (exp x) 1) 4) y) c) (* (* x x) y) (* (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) y) (+ (* 1/6 x) 1/2) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (/ (* (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) x) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c))) (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2))) |
| 51.0ms | x | @ | -inf | ((+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) c) (* (* (pow (- (exp x) 1) 4) y) c) (* (* x x) y) (* (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) y) (+ (* 1/6 x) 1/2) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (/ (* (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) x) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c))) (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2))) |
| 36.0ms | c | @ | -inf | ((+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) c) (* (* (pow (- (exp x) 1) 4) y) c) (* (* x x) y) (* (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) y) (+ (* 1/6 x) 1/2) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (/ (* (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) x) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c))) (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2))) |
| 29.0ms | x | @ | inf | ((+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) y) (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (* (pow (- (exp x) 1) 2) c) (* (pow (- (exp x) 1) 3) c) (* (* (pow (- (exp x) 1) 4) y) c) (* (* x x) y) (* (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) y) (+ (* 1/6 x) 1/2) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (/ (* (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) x) (+ (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) (* (neg y) c))) (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1368 | 9893 |
| 1 | 5517 | 9841 |
| 0 | 8243 | 8483 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3)))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
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(* c (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
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(* c (* x (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))))))) |
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(* c (pow (- (exp x) 1) 2)) |
(* c (pow (- (exp x) 1) 3)) |
(* c (* y (pow (- (exp x) 1) 4))) |
(* c (* y (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) |
(/ (* c (* x (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2)))) (+ (* -1 y) (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
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(* -1 (* c (+ (* -1/3 (pow (- (exp x) 1) 3)) (* 1/4 (* y (pow (- (exp x) 1) 4)))))) |
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(* -1 (* c (+ (* -1 (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (- (* -1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) 1))))) |
(* -1 (* c (* x (+ (* -1 y) (* x (+ (* -1 (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))))) (* -1 (* y (+ 1/2 (* -1/2 y)))))))))) |
(* -1 (* c (+ y (* -1 (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))))) |
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(* 1/3 (* c (pow x 3))) |
(* (pow x 3) (+ (* 1/3 c) (* x (+ (* -1/4 (* c y)) (* 1/2 c))))) |
(* (pow x 3) (+ (* 1/3 c) (* x (+ (* -1/4 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 5/12 c)))))))) |
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(* x (+ (* c y) (* x (* y (+ (* -1/2 (* c y)) (* 1/2 c)))))) |
(* x (+ (* c y) (* x (+ (* x (* y (+ (* 1/6 c) (* y (+ (* -1/2 c) (* 1/3 (* c y))))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* 1/24 c) (* y (+ (* -7/24 c) (* y (+ (* -1/4 (* c y)) (* 1/2 c)))))))) (* y (+ (* 1/6 c) (* y (+ (* -1/2 c) (* 1/3 (* c y)))))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* c x) |
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(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
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(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ c (* x (+ (* -1/2 (* c y)) (+ (* 1/2 c) (* x (+ (* -1/2 (* c y)) (* 1/6 c)))))))) |
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(* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* c (* y (+ (* -1/2 (* y (pow (log (E)) 2))) (* 1/2 (pow (log (E)) 2))))) (* x (+ (* c (* x (* y (+ (* -1/2 (* y (+ (* 1/4 (pow (log (E)) 4)) (* 1/3 (pow (log (E)) 4))))) (* 1/24 (pow (log (E)) 4)))))) (* c (* y (+ (* -1/2 (* y (pow (log (E)) 3))) (* 1/6 (pow (log (E)) 3))))))))))) |
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(* x (+ (* c y) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y)))))))) |
(* x (+ (* c y) (* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (* x (+ (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* y (+ 1/6 (* -1/2 y))) |
(+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y)))) |
(* -1 (* c y)) |
(+ (* -1 (* c y)) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
(+ (* -1 (* c y)) (* x (+ (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/2 (* -1/2 y))))))) |
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(* c (pow x 2)) |
(* (pow x 2) (+ c (* c x))) |
(* (pow x 2) (+ c (* x (+ c (* 7/12 (* c x)))))) |
(* (pow x 2) (+ c (* x (+ c (* x (+ (* 1/4 (* c x)) (* 7/12 c))))))) |
(* c (pow x 3)) |
(* (pow x 3) (+ c (* 3/2 (* c x)))) |
(* (pow x 3) (+ c (* x (+ (* 5/4 (* c x)) (* 3/2 c))))) |
(* (pow x 3) (+ c (* x (+ (* 3/2 c) (* x (+ (* 3/4 (* c x)) (* 5/4 c))))))) |
(* c (* (pow x 4) y)) |
(* (pow x 4) (+ (* 2 (* c (* x y))) (* c y))) |
(* (pow x 4) (+ (* c y) (* x (+ (* 2 (* c y)) (* 13/6 (* c (* x y))))))) |
(* (pow x 4) (+ (* c y) (* x (+ (* 2 (* c y)) (* x (+ (* 5/3 (* c (* x y))) (* 13/6 (* c y)))))))) |
(* (pow x 2) y) |
(* x (+ (* c y) (* x (+ (* x (* y (+ (* -1/2 (* c y)) (* 1/6 c)))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
(* x (+ (* c y) (* x (+ (* x (+ (* x (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) (* y (+ (* -1/2 (* c y)) (* 1/6 c))))) (* y (+ (* -1/2 (* c y)) (* 1/2 c))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* x (+ (* c y) (* x (- (* c (* x (* y (+ 1/6 (* -1/2 y))))) (* -1 (* c (* y (+ 1/2 (* -1/2 y))))))))) |
(* x (+ (* c y) (* x (- (* x (- (* c (* x (* y (+ 1/24 (* -7/24 y))))) (* -1 (* c (* y (+ 1/6 (* -1/2 y))))))) (* -1 (* c (* y (+ 1/2 (* -1/2 y))))))))) |
(* -1 (* (pow c 2) (pow y 2))) |
(- (* (pow c 2) (* (pow x 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2)))) (* (pow c 2) (pow y 2))) |
(- (* (pow x 2) (+ (* 2 (* (pow c 2) (* x (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))))) (* (pow c 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2))))) (* (pow c 2) (pow y 2))) |
(- (* (pow x 2) (+ (* x (+ (* 2 (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y)))))) (* (pow c 2) (* x (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2))))))) (* (pow c 2) (* (pow y 2) (pow (+ 1/2 (* -1/2 y)) 2))))) (* (pow c 2) (pow y 2))) |
(+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* (pow x 4) (+ (* -7/24 (* c y)) (* 1/24 c))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (* 1/6 (/ c x)))))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -1/2 (/ (* c y) (pow x 2))) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (+ (* 1/6 (/ c x)) (* 1/2 (/ c (pow x 2))))))))) |
(* (pow x 4) (+ (* -1/2 (/ (* c y) x)) (+ (* -1/2 (/ (* c y) (pow x 2))) (+ (* -7/24 (* c y)) (+ (* 1/24 c) (+ (* 1/6 (/ c x)) (+ (* 1/2 (/ c (pow x 2))) (/ c (pow x 3))))))))) |
(* c (* (pow x 4) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 4) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c y) (pow x 3)) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* x (* y (+ 1/24 (* -7/24 y)))) |
(* x (+ (* y (+ 1/24 (* -7/24 y))) (/ (* y (+ 1/6 (* -1/2 y))) x))) |
(* c (* (pow x 3) (* y (+ 1/24 (* -7/24 y))))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 3) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2))))) |
(* (pow x 3) (+ (* -1 (/ (* c y) (pow x 3))) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)))))) |
(* (pow x 4) (* y (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (+ (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x) (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (pow x 2))))) |
(* (pow x 4) (+ (* y (+ (* -7/24 (* c y)) (* 1/24 c))) (+ (/ (* c y) (pow x 3)) (+ (/ (* y (+ (* -1/2 (* c y)) (* 1/6 c))) x) (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (pow x 2)))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (* c (* y (+ 1/24 (* -7/24 y))))) (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* (pow x 2) (* y (+ 1/24 (* -7/24 y))))))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (+ (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)) (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 2) (+ 1/24 (* -7/24 y)))))))) |
(* (pow x 4) (- (+ (* 2 (/ (* c (* y (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (* (pow x 3) (+ 1/24 (* -7/24 y))))) (+ (* 2 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x)) (+ (* c (* y (+ 1/24 (* -7/24 y)))) (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* (pow x 2) (* y (+ 1/24 (* -7/24 y)))))))) (+ (* -1 (/ (* c y) (pow x 3))) (+ (/ (* c (* y (+ 1/6 (* -1/2 y)))) x) (+ (/ (* c (* y (+ 1/2 (* -1/2 y)))) (pow x 2)) (+ (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 2) (+ 1/24 (* -7/24 y)))) (+ (/ (* (+ 1/6 (* -1/2 y)) (- (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y)))) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y)))))) (* (pow x 3) (+ 1/24 (* -7/24 y)))) (/ (* (+ 1/2 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* (pow x 3) (+ 1/24 (* -7/24 y))))))))))) |
(* (pow c 2) (* (pow x 6) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2)))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (+ (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))) (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (pow x 2))))) |
(* (pow x 6) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y))))) x)) (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (pow x 3))) (+ (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))) (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (pow x 2)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1/6 c) (* 1/2 (* c y))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c y)) (* 1/2 c)) x)) (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c y)) (+ (* 1/2 c) (/ c x))) x)) (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (+ (* -7/24 (* c y)) (* 1/24 c)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/6 (* -1/2 y))))) (* -1 (/ (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x)) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/24 (* -7/24 y)))) (* -1 (/ (* y (+ 1/6 (* -1/2 y))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (* c (* y (+ 1/6 (* -1/2 y)))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* c (* y (+ 1/6 (* -1/2 y)))) (/ (* c (* y (+ 1/2 (* -1/2 y)))) x)) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (* c (* y (+ 1/24 (* -7/24 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (/ (* c y) x)) x)) (* c (* y (+ 1/6 (* -1/2 y))))) x))))) |
(* (pow x 4) (+ (* -1 (/ (* y (+ (* -1/6 c) (* 1/2 (* c y)))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) x)) (* y (+ (* -1/6 c) (* 1/2 (* c y))))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -1/2 (* c y)) (* 1/2 c))) (/ (* c y) x)) x)) (* y (+ (* -1/6 c) (* 1/2 (* c y))))) x)) (* y (+ (* -7/24 (* c y)) (* 1/24 c))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* x (* y (+ 1/24 (* -7/24 y))))))) (+ (* -1 (/ (* c (* y (+ 1/2 (* -1/2 y)))) x)) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* x (+ 1/24 (* -7/24 y))))))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y))))) (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y))))))) (* 2 (/ (* c (* y (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) (* x (+ 1/24 (* -7/24 y)))))) (+ (* -1 (/ (* c y) x)) (+ (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* -1 (/ (* c (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) (* y (+ 1/24 (* -7/24 y))))) (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* (+ 1/6 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (+ 1/24 (* -7/24 y))))))) (* x (+ 1/24 (* -7/24 y))))) (/ (* (+ 1/2 (* -1/2 y)) (- (* 2 (* c (* y (+ 1/6 (* -1/2 y))))) (* c (* y (+ 1/6 (* -1/2 y)))))) (* x (+ 1/24 (* -7/24 y))))))) x))) x)) (* c (* y (+ 1/24 (* -7/24 y)))))) |
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y)))))) (* -1 (/ (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2)))) x))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* (pow c 2) (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/6 (* -1/2 y)))))) (* -1 (/ (+ (* 2 (/ (* (pow c 2) (* (pow y 2) (* (+ 1/6 (* -1/2 y)) (+ 1/2 (* -1/2 y))))) x)) (* (pow c 2) (+ (* 2 (* (pow y 2) (* (+ 1/24 (* -7/24 y)) (+ 1/2 (* -1/2 y))))) (* (pow y 2) (pow (+ 1/6 (* -1/2 y)) 2))))) x))) x)) (* (pow c 2) (* (pow y 2) (pow (+ 1/24 (* -7/24 y)) 2))))) |
(* 1/3 (* c (pow (- (exp x) 1) 3))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* c (- (exp x) 1)) |
(+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) |
(+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(+ (* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* x (* y (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) (* (pow x 2) (* y (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))))) |
(* y (+ 1/6 (* 1/24 x))) |
(* y (+ 1/6 (+ (* 1/24 x) (* y (- (* -7/24 x) 1/2))))) |
(* y (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(* y (+ (* -1 c) (+ (* c (* x (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* x (* y (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
(* y (+ (* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(/ (* x (* y (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
(* y (+ (* y (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* y (+ (* y (- (+ (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (* y (- (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* y (+ (* y (- (+ (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (* y (- (+ (* -1 (/ (* c (* x (* y (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* (pow c 2) (* (pow x 3) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* x (* (- (* 2 (/ (* (pow c 2) (* (pow x 3) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))))) (/ (* c (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))))) (pow (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) 2)))) (/ (* x (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) |
(* (pow y 2) (- (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow c 2))) |
(* (pow y 2) (- (+ (* 2 (* (pow c 2) (* (pow x 2) (* y (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2)))) (pow c 2))) |
(* (pow y 2) (- (+ (* y (+ (* 2 (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) (* (pow c 2) (* (pow x 2) (* y (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2)))))) (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2)))) (pow c 2))) |
(* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) |
(* y (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(* -1/4 (* c (* (pow y 4) (pow (- (exp x) 1) 4)))) |
(* (pow y 4) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* (pow y 4) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y))))) |
(* (pow y 4) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (+ (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (/ (* c (- (exp x) 1)) (pow y 3)))))) |
(* -1/4 (* c (* (pow y 3) (pow (- (exp x) 1) 4)))) |
(* (pow y 3) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)))) |
(* (pow y 3) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y))))) |
(* (pow y 3) (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) (pow y 2))) (+ (* -1/4 (* c (pow (- (exp x) 1) 4))) (+ (* 1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (/ (* c (- (exp x) 1)) (pow y 3)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* y (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (/ (* c (- (pow (E) x) 1)) y))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2)))))) |
(* (pow y 2) (+ (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))) (/ (* x (+ c (* x (+ (* 1/2 c) (* c (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (* -7/24 x) 1/2)) |
(* (pow y 2) (- (+ (* -7/24 x) (+ (* 1/24 (/ x y)) (* 1/6 (/ 1 y)))) 1/2)) |
(* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* (pow y 2) (+ (* -1 (/ c y)) (+ (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)))) |
(* c (* (pow x 2) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) |
(* (pow y 2) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))) |
(* (pow y 2) (- (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) (+ (/ c (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (+ (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))))))) |
(* (pow y 2) (- (+ (* -1 (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))))) (* c (* x (* (pow y 3) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (* 2 (/ (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) y)) (+ (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (/ (* c (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (/ c (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))) (+ (/ (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y) (/ (* (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (- (* 2 (* c (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* x (+ (* -1 c) (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))) (* c (* x (* (pow y 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))))))) |
(* (pow c 2) (* (pow x 2) (* (pow y 4) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2)))) |
(* (pow y 4) (+ (* 2 (/ (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(* (pow y 4) (- (+ (* 2 (/ (* (pow c 2) (* (pow x 2) (* (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) y)) (+ (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))) (/ (* (pow c 2) (* (pow x 2) (pow (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) 2))) (pow y 2)))) (/ (pow c 2) (pow y 2)))) |
(* -1 (* y (+ (* -1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1/3 (* c (pow (- (exp x) 1) 3))) (* 1/2 (/ (* c (pow (- (exp x) 1) 2)) y))) y)) (* -1/4 (* c (pow (- (exp x) 1) 4))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (/ (* c (- (exp x) 1)) y)) y)) (* -1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* -1/4 (* c (pow (- (exp x) 1) 4))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (/ (* c (pow (- (exp x) 1) 3)) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 (/ (* c (pow (- (exp x) 1) 2)) y)) (* 1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c (- (exp x) 1)) y)) (* 1/2 (* c (pow (- (exp x) 1) 2)))) y)) (* 1/3 (* c (pow (- (exp x) 1) 3)))) y)) (* 1/4 (* c (pow (- (exp x) 1) 4)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* -1 (* y (+ (* -1 (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2)))) (* -1 (/ (* x (+ c (* c (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) y))))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* x (+ (* -1/2 c) (* c (* x (- (* -1/24 x) 1/6))))))) y)) (* (pow x 2) (+ (* -1/2 c) (* c (* x (- (* -7/24 x) 1/2))))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2)) |
(* (pow y 2) (+ (* -1 (/ (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) y)) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) y)) (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2))))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))))) (* c (* x (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) y)) (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2))))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(* (pow y 4) (+ (* -2 (/ (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (pow c 2)) y)) (* 2 (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
| Outputs |
|---|
(* c (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3)))) |
(*.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64))) c) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))) |
(*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64))) y)) y (exp.f64 x)) #s(literal 1 binary64)) y) c) |
(* c (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64))) y)) y (exp.f64 x)) #s(literal 1 binary64)) c) |
(* c (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y) c) |
(* c (* x (+ y (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) x y) x) c) |
(* c (+ (* -1 y) (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) x (neg.f64 y)) c) |
(* c (pow (- (exp x) 1) 2)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) |
(* c (pow (- (exp x) 1) 3)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) |
(* c (* y (pow (- (exp x) 1) 4))) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) |
(* c (* y (+ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (* (pow x 2) (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) |
(*.f64 (*.f64 y c) (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/ (* c (* x (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2)))) (+ (* -1 y) (* x (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y))))))) |
(/.f64 (*.f64 (*.f64 c x) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x)) x (neg.f64 y))) |
(* (pow c 2) (- (* (pow x 2) (pow (+ (* x (+ (* x (* y (+ 1/24 (* -7/24 y)))) (* y (+ 1/6 (* -1/2 y))))) (* y (+ 1/2 (* -1/2 y)))) 2)) (pow y 2))) |
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(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) c) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) x)) (*.f64 c x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (/.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) x)) y))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (/ (* c (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (- (* x (- (* -7/24 x) 1/2)) 1/2)) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2))))))) (* c (* x (* y (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) (+ (/ c (- (* x (- (* -7/24 x) 1/2)) 1/2)) (/ (* (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (- (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))) (* c (* x (- (* x (- (* -7/24 x) 1/2)) 1/2)))))) y)) (* 2 (* c (* (pow x 2) (- (* x (- (* -1/24 x) 1/6)) 1/2))))) (* x (+ c (* c (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* c (* (pow x 2) (- (* x (- (* -7/24 x) 1/2)) 1/2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) c) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) x)) (*.f64 c x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (/.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) (*.f64 c x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) x)) (*.f64 c x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (/.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) c c) x)) y))) (*.f64 y y)) |
(* (pow y 4) (+ (* -2 (/ (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 c c)) y) #s(literal -2 binary64) (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 c c))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -1/24 x) 1/6)) 1/2) 2))) (pow c 2)) y)) (* 2 (* (pow c 2) (* (pow x 2) (* (- (* x (- (* -7/24 x) 1/2)) 1/2) (- (* x (- (* -1/24 x) 1/6)) 1/2)))))) y)) (* (pow c 2) (* (pow x 2) (pow (- (* x (- (* -7/24 x) 1/2)) 1/2) 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (pow.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 c c) (*.f64 (neg.f64 c) c)) y))) y))) (pow.f64 y #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 923 |
| 0 | 185 | 923 |
| 1 | 767 | 789 |
| 0 | 6296 | 765 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y))) |
#s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) |
(fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
#s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) |
(*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) |
(*.f64 (*.f64 x x) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))) |
(-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) c)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) c)) (*.f64 #s(literal 1/3 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) |
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(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 y c) (*.f64 (neg.f64 y) c))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (neg.f64 (*.f64 c c)) (*.f64 y y))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) #s(literal 2 binary64)) (*.f64 (*.f64 y c) (*.f64 (neg.f64 y) c))) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 c c)) (*.f64 y y))) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
(fma.f64 c (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 y c) (*.f64 (neg.f64 y) c))) |
(fma.f64 c (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (neg.f64 (*.f64 c c)) (*.f64 y y))) |
(fma.f64 c (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 y c) (*.f64 (neg.f64 y) c))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (neg.f64 (*.f64 c c)) (*.f64 y y))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y c) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y c) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y c) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y c) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) y) c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y c) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y c) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) y) c) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y c) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)) (*.f64 (*.f64 y c) (*.f64 (neg.f64 y) c))) |
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 c c)) (*.f64 y y))) |
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) c) (*.f64 y c))) |
Compiled 63 550 to 4 408 computations (93.1% saved)
33 alts after pruning (26 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 10 | 656 |
| Fresh | 3 | 16 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 652 | 33 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) | |
| 56.4% | (*.f64 (log1p.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) y)) c) | |
| ✓ | 92.6% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| 28.5% | (*.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64))) y)) c) | |
| 56.0% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| ✓ | 56.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
| 56.1% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) | |
| ✓ | 55.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 16.4% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ✓ | 46.3% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
| 23.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) | |
| ✓ | 33.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 8.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))))) | |
| 21.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 74.5% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (*.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64))) c)) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) | |
| 69.9% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| 43.3% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) | |
| 70.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) | |
| ✓ | 51.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ✓ | 50.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| 16.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y c) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y c) (-.f64 (*.f64 y c) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)))))) | |
| 26.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x (*.f64 y c)) (*.f64 c (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) | |
| 19.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) | |
| 42.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) | |
| 44.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) | |
| 45.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) | |
| 19.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) | |
| 27.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) x) #s(literal 2 binary64))) y) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) (*.f64 y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) x)))))) | |
| 27.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) | |
| 18.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) | |
| 40.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) | |
| 48.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) | |
| 17.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
Compiled 5 232 to 1 686 computations (67.8% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x (*.f64 y c)) (*.f64 c (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) x)) (pow.f64 x #s(literal 3 binary64)))) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) x) #s(literal 2 binary64))) y) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) c) x) (*.f64 y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x c) x)))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* (* y (+ (* 1/6 x) 1/2)) x) y) x) 1) (*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64))) y)) c) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 3 binary64))) x) (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x)) (pow.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) #s(literal 2 binary64)))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y c) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y c) (-.f64 (*.f64 y c) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x) #s(literal 2 binary64)))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))))) y)) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)))) c) |
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))))) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) (*.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64))) c)) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
9 calls:
| 18.0ms | c |
| 18.0ms | y |
| 15.0ms | x |
| 14.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 13.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | (pow.f64 (E.f64) x) |
| 92.6% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 92.6% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 92.6% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 92.6% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 92.6% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 96.3% | 3 | c |
| 95.8% | 3 | x |
| 99.4% | 3 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x (*.f64 y c)) (*.f64 c (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) x)) (pow.f64 x #s(literal 3 binary64)))) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
2 calls:
| 13.0ms | y |
| 11.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 3 | c |
| 92.6% | 1 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x (*.f64 y c)) (*.f64 c (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
1 calls:
| 10.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 3 | c |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) c) x (*.f64 y c)) (*.f64 c (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
9 calls:
| 9.0ms | c |
| 9.0ms | x |
| 9.0ms | y |
| 9.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 9.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 2 | (pow.f64 (E.f64) x) |
| 81.5% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 81.9% | 4 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 72.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 72.3% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 72.2% | 2 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 82.0% | 3 | y |
| 84.6% | 4 | x |
| 74.3% | 3 | c |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 4 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
3 calls:
| 10.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 6.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 2 | (pow.f64 (E.f64) x) |
| 81.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 84.5% | 4 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)) y)) c) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
3 calls:
| 11.0ms | x |
| 6.0ms | (pow.f64 (E.f64) x) |
| 6.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 81.1% | 2 | (pow.f64 (E.f64) x) |
| 84.2% | 4 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
5 calls:
| 12.0ms | x |
| 7.0ms | y |
| 6.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 5.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 5.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 4 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 73.7% | 3 | y |
| 74.7% | 2 | (pow.f64 (E.f64) x) |
| 74.7% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 74.7% | 2 | x |
Compiled 17 to 26 computations (-52.9% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (*.f64 c (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (pow (- (exp x) 1) 3) c) 1/3) (* (* (* (pow (- (exp x) 1) 4) y) c) -1/4)) y) (* (* (pow (- (exp x) 1) 2) c) -1/2)) y) (* (- (exp x) 1) c)) (*.f64 (fma.f64 (fma.f64 (*.f64 y c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) y))) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 #s(approx (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))))) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x))) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(approx (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (fma.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x) x (*.f64 (*.f64 c x) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 7/12 binary64) y) #s(literal -1/2 binary64) #s(literal 1/24 binary64)) y) x))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x)) c (/.f64 (*.f64 (fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c) x) y)) y)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x c) y))) (*.f64 y y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) (/.f64 (*.f64 #s(approx (- (pow (* (* c (+ (* (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* -7/24 y) 1/24) y) x)) x) (* (+ (* -1/2 y) 1/2) y))) x) 2) (pow (* c y) 2)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 y y))) x) (fma.f64 (*.f64 c (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y (*.f64 (*.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) y) x)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x (*.f64 (neg.f64 y) c))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
9 calls:
| 10.0ms | c |
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 4.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 3 | y |
| 51.4% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 51.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 51.4% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 55.4% | 2 | c |
| 51.4% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 53.8% | 2 | (pow.f64 (E.f64) x) |
| 53.8% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 53.8% | 2 | x |
Compiled 49 to 59 computations (-20.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
9 calls:
| 1.0ms | x |
| 1.0ms | c |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 1.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 50.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 50.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 50.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 50.2% | 1 | x |
| 50.2% | 1 | (pow.f64 (E.f64) x) |
| 50.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 50.2% | 1 | y |
| 50.2% | 1 | c |
Compiled 49 to 59 computations (-20.4% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 7.356814235472924e-12 | 3.497209034634353e-9 |
| 9.0ms | -2.6381849684881746e-106 | -2.155513760201079e-107 |
| 34.0ms | 74× | 1 | valid |
| 5.0ms | 54× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 287 to 248 computations (13.6% saved)
ival-pow: 17.0ms (49.7% of total)adjust: 8.0ms (23.4% of total)ival-e: 4.0ms (11.7% of total)ival-mult: 2.0ms (5.8% of total)ival-sub: 1.0ms (2.9% of total)ival-log1p: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 3.875741845837945e+231 | 3.342386132626683e+232 |
| 39.0ms | 3.311153230897267e+176 | 1.7333695056025736e+177 |
| 58.0ms | 123× | 1 | valid |
| 6.0ms | 69× | 0 | valid |
Compiled 579 to 448 computations (22.6% saved)
ival-pow: 32.0ms (55.9% of total)ival-mult: 10.0ms (17.5% of total)ival-e: 7.0ms (12.2% of total)adjust: 4.0ms (7% of total)ival-log1p: 3.0ms (5.2% of total)ival-sub: 2.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.875741845837945e+231 | 3.342386132626683e+232 |
| 1.0ms | 3.311153230897267e+176 | 1.7333695056025736e+177 |
Compiled 1 803 to 1 096 computations (39.2% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 79.0ms | 4.0759245300633176e-219 | 1.009601087710325e-207 |
| 104.0ms | -1.0084036234036446e-187 | -7.944657474360268e-195 |
| 26.0ms | -233.81361312848026 | -0.03036114177749557 |
| 150.0ms | 268× | 1 | valid |
| 15.0ms | 16× | 1 | invalid |
| 13.0ms | 164× | 0 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 1 131 to 942 computations (16.7% saved)
ival-pow: 105.0ms (64.6% of total)ival-e: 20.0ms (12.3% of total)ival-log1p: 12.0ms (7.4% of total)ival-mult: 9.0ms (5.5% of total)ival-sub: 8.0ms (4.9% of total)adjust: 8.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.0759245300633176e-219 | 1.009601087710325e-207 |
| 1.0ms | -1.0084036234036446e-187 | -7.944657474360268e-195 |
| 1.0ms | -233.81361312848026 | -0.03036114177749557 |
Compiled 1 165 to 942 computations (19.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.0759245300633176e-219 | 1.009601087710325e-207 |
| 1.0ms | -1.0084036234036446e-187 | -7.944657474360268e-195 |
| 19.0ms | -4075.1382254475816 | -233.81361312848026 |
| 11.0ms | 112× | 0 | valid |
| 2.0ms | 30× | 0 | invalid |
Compiled 1 043 to 881 computations (15.5% saved)
ival-pow: 5.0ms (49.8% of total)ival-mult: 2.0ms (19.9% of total)ival-e: 1.0ms (10% of total)ival-sub: 1.0ms (10% of total)ival-log1p: 1.0ms (10% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.0759245300633176e-219 | 1.009601087710325e-207 |
| 1.0ms | -1.0084036234036446e-187 | -7.944657474360268e-195 |
| 14.0ms | -0.008306501738478233 | -0.0006186859041832103 |
| 8.0ms | 96× | 0 | valid |
| 2.0ms | 22× | 0 | invalid |
Compiled 927 to 797 computations (14% saved)
ival-pow: 2.0ms (31.5% of total)ival-mult: 1.0ms (15.8% of total)ival-e: 1.0ms (15.8% of total)ival-sub: 1.0ms (15.8% of total)ival-log1p: 1.0ms (15.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | -8.068646408038597e-16 | -6.262704235531848e-21 |
| 29.0ms | 129× | 1 | valid |
| 2.0ms | 17× | 0 | invalid |
| 1.0ms | 15× | 0 | valid |
Compiled 357 to 295 computations (17.4% saved)
ival-pow: 11.0ms (42.7% of total)adjust: 4.0ms (15.5% of total)ival-mult: 4.0ms (15.5% of total)ival-e: 3.0ms (11.6% of total)ival-sub: 2.0ms (7.8% of total)ival-log1p: 2.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 8.639276065464457e-8 | 3.6310364519648894e-6 |
| 3.0ms | 8× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 51 to 46 computations (9.8% saved)
ival-pow: 2.0ms (61.2% of total)ival-sub: 0.0ms (0% of total)ival-e: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-log1p: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 651 |
| 1 | 318 | 635 |
| 2 | 904 | 631 |
| 3 | 4157 | 629 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c)))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c)))) |
(if (<=.f64 x #s(literal -235 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))) |
(if (<=.f64 x #s(literal -6456360425798343/2305843009213693952 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))) |
(if (<=.f64 x #s(literal -4673067172681345/1298074214633706907132624082305024 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (or (<=.f64 y #s(literal -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (not (<=.f64 y #s(literal 6189700196426901/309485009821345068724781056 binary64)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) (expm1.f64 x)) (*.f64 c y)))) |
(if (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (or (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (not (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) y))) |
(if (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (or (<=.f64 c #s(literal 1099999999999999895721033688701842310322731740291922787853178837895988010195708460994152347224101006273295010265791682164075211378068372421192974777870370495593313265467386757120 binary64)) (not (<=.f64 c #s(literal 4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) #s(approx (* (* c (+ (* (* (pow (- (pow (E) x) 1) 2) y) -1/2) (- (pow (E) x) 1))) y) #s(approx (* (+ (* (+ (* (* c (+ (* (+ (* -1/2 y) 1/6) y) (* (* (+ (* (* 7/12 y) -1/2) 1/24) y) x))) x) (* (* (+ (* -1/2 y) 1/2) y) c)) x) (* c y)) x) (*.f64 #s(approx (+ (* (* (* x x) y) (* c (+ (* (+ (* -7/24 x) -1/2) x) -1/2))) (* (+ (* (* c (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) x) c) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c)) y))))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c)))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (pow (E) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c)))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c)))) |
(if (<=.f64 x #s(literal -1188950301625811/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (or (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (not (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (pow (E) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y)))) |
(if (<=.f64 x #s(literal -235 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))) |
(if (<=.f64 x #s(literal -235 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (or (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (not (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y)))) |
(if (<=.f64 x #s(literal -6456360425798343/2305843009213693952 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))) |
(if (<=.f64 x #s(literal -6456360425798343/2305843009213693952 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (if (or (<=.f64 x #s(literal -8347383632828229/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (not (<=.f64 x #s(literal 4858207693444921/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y)))) |
(if (<=.f64 x #s(literal -4673067172681345/1298074214633706907132624082305024 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 x #s(literal -4673067172681345/1298074214633706907132624082305024 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 c y) x)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 x c) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 c y) x)) |
| 1× | fuel |
Compiled 677 to 176 computations (74% saved)
(negabs c)
Compiled 1 568 to 508 computations (67.6% saved)
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