Logarithmic Transform
Time bar (total: 11.0s)
| 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)
| 1.3s | 4 633× | 1 | valid |
| 436.0ms | 3 623× | 0 | valid |
| 326.0ms | 1 602× | 1 | exit |
| 248.0ms | 651× | 1 | invalid |
| 90.0ms | 661× | 0 | invalid |
ival-pow: 887.0ms (46.9% of total)ival-e: 321.0ms (17% of total)ival-mult: 226.0ms (12% of total)ival-log1p: 178.0ms (9.4% of total)adjust: 140.0ms (7.4% of total)ival-sub: 116.0ms (6.1% of total)ival-true: 9.0ms (0.5% of total)exact: 9.0ms (0.5% of total)ival-assert: 5.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 170 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 160 | 44 | (-5.017000855802521e+91 -2.0179024040417893e-230 2.5494758379571097e-163) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 21 | 0 | - | 1 | (-4.341107726277051e+292 -5.652275506718826e-14 7.696656111462961e-299) | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 0 | 0 | - | 0 | - | (pow.f64 (E.f64) x) |
| 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 | 203 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 39 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 20 | 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 - | |
|---|---|---|
| + | 175 | 0 |
| - | 56 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 175 | 0 | 0 |
| - | 56 | 0 | 25 |
| number | freq |
|---|---|
| 0 | 25 |
| 1 | 199 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 96.0ms | 326× | 1 | valid |
| 18.0ms | 186× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 36.0ms (42.4% of total)ival-e: 15.0ms (17.6% of total)ival-mult: 9.0ms (10.6% of total)adjust: 8.0ms (9.4% of total)ival-log1p: 7.0ms (8.2% of total)ival-sub: 4.0ms (4.7% of total)ival-add: 4.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 93 | 113 |
| 2 | 145 | 113 |
| 3 | 233 | 113 |
| 4 | 291 | 113 |
| 5 | 409 | 113 |
| 6 | 1312 | 113 |
| 7 | 4852 | 113 |
| 8 | 7215 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 38 | 12 |
| 3 | 58 | 12 |
| 4 | 88 | 12 |
| 5 | 183 | 12 |
| 6 | 1077 | 12 |
| 7 | 4612 | 12 |
| 8 | 6926 | 12 |
| 0 | 8436 | 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 |
|---|---|---|
| ▶ | 37.4% | (*.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)
| 1× | egg-herbie |
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 | 38 | 51 |
| 3 | 58 | 51 |
| 4 | 88 | 51 |
| 5 | 183 | 51 |
| 6 | 1077 | 51 |
| 7 | 4612 | 51 |
| 8 | 6926 | 51 |
| 0 | 8436 | 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 | 0.030133771553383294 | (pow.f64 (E.f64) x) | |
| accuracy | 4.736282665656686 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 35.788847721076536 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 39.239453756430024 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 55.0ms | 163× | 1 | valid |
| 9.0ms | 93× | 0 | valid |
Compiled 53 to 13 computations (75.5% saved)
ival-pow: 17.0ms (33.2% of total)ival-e: 15.0ms (29.3% of total)adjust: 7.0ms (13.7% of total)ival-mult: 5.0ms (9.8% of total)ival-log1p: 3.0ms (5.9% of total)ival-sub: 2.0ms (3.9% of total)ival-add: 2.0ms (3.9% 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 | |
|---|---|---|---|---|
| 66.0ms | 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)) |
| 31.0ms | 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)) |
| 24.0ms | 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)) |
| 24.0ms | 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)) |
| 13.0ms | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1289 |
| 1 | 1139 | 1110 |
| 2 | 4646 | 1080 |
| 0 | 8124 | 1006 |
| 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 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 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 #s(literal -1/2 binary64) (-.f64 (*.f64 y y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (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 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x)) 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 (*.f64 y (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)) |
(* 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 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 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 #s(literal 1/2 binary64) c) (-.f64 y (*.f64 y y)) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (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 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) x)) 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 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) 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 #s(literal 1 binary64) x) |
(+ 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 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 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 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 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)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 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 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 c y) (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 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 c y) (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 |
| 2 | 472 | 40 |
| 3 | 4703 | 40 |
| 0 | 8213 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 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 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (expm1.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) #s(literal 0 binary64)) |
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) |
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(fma.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 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 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (E.f64)))) (*.f64 #s(literal 2 binary64) x))) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 (E.f64))) x)) |
(expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (E.f64) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 (E.f64) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))))) |
(*.f64 (pow.f64 (E.f64) (*.f64 x #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (E.f64)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 (neg.f64 (E.f64)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))))) |
(*.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 x #s(literal 2/3 binary64))) (pow.f64 (neg.f64 (E.f64)) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) x)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (exp.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) (fabs.f64 (pow.f64 (cbrt.f64 (E.f64)) x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 5/3 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) |
(*.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (sqrt.f64 (exp.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (exp.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) |
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (E.f64)) #s(literal 1 binary64)) x) |
(pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (neg.f64 (E.f64)) x) |
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal -1 binary64) x))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1/2 binary64) x)) (cosh.f64 (/.f64 x #s(literal -2 binary64)))) (cosh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (E.f64)))) (*.f64 #s(literal 2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (E.f64))) x)) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(exp.f64 x) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 8 165 to 1 825 computations (77.6% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 16 | 326 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 311 | 16 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 26.9% | (*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))) | |
| 22.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (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))) #s(literal 1 binary64)) y)))) | |
| ▶ | 25.1% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
| ▶ | 31.5% | (*.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)))) |
| 32.6% | (*.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))))) | |
| 32.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (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))))) | |
| 35.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| 26.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| ▶ | 42.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
| 44.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) | |
| 53.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 43.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| 52.6% | #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)) | |
| ▶ | 59.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 728 to 524 computations (28% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 1 | (+.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)) | |
| cost-diff | 1 | (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))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) | |
| cost-diff | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) | |
| cost-diff | 1 | (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 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 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 y (expm1.f64 x)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 457 |
| 0 | 92 | 457 |
| 1 | 170 | 457 |
| 2 | 490 | 457 |
| 3 | 2041 | 421 |
| 4 | 7006 | 421 |
| 0 | 8575 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
x |
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 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
#s(literal -1/2 binary64) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y) |
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
y |
(*.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)))) |
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))) |
(+.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(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 (- (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)) |
(*.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) |
(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)) |
(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) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
y |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 x) |
x |
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 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
#s(literal -1/2 binary64) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) |
(log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) |
(fma.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y) |
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
y |
(*.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)))) |
(*.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) |
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))) |
(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)) |
(+.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)) |
(fma.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(literal 1 binary64)) |
#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 (- (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)) |
(*.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) |
(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)) |
(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) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) | |
| accuracy | 4.736282665656686 | (*.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)))) | |
| accuracy | 21.154686621497973 | #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)) | |
| accuracy | 35.788847721076536 | (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))) | |
| accuracy | 4.736282665656686 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| accuracy | 21.063119909017676 | #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 35.788847721076536 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) | |
| accuracy | 39.239453756430024 | (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 4.736282665656686 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) | |
| accuracy | 5.041593586272685 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) | |
| accuracy | 9.539009226604087 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) | |
| accuracy | 27.121910523307694 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) | |
| accuracy | 0.0 | (*.f64 c y) | |
| accuracy | 4.636608327208819 | (*.f64 (*.f64 c y) x) | |
| accuracy | 25.30492343742238 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0.00390625 | (*.f64 y (expm1.f64 x)) | |
| accuracy | 0.00390625 | (expm1.f64 x) | |
| accuracy | 0.24983635501146456 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| accuracy | 4.736282665656686 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 156.0ms | 163× | 1 | valid |
| 36.0ms | 93× | 0 | valid |
Compiled 352 to 47 computations (86.6% saved)
ival-mult: 37.0ms (25.2% of total)ival-pow: 26.0ms (17.7% of total)ival-e: 21.0ms (14.3% of total)ival-add: 16.0ms (10.9% of total)adjust: 15.0ms (10.2% of total)ival-expm1: 11.0ms (7.5% of total)const: 9.0ms (6.1% of total)ival-log1p: 6.0ms (4.1% of total)ival-sub: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y) |
(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))) |
(+.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)) |
(*.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)))) |
(*.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) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) |
#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)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c 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)))))))))))) |
(* 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))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
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)))))) |
(* 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))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* 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))))))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 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)))))))) |
(* 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))))))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* 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)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 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)))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(+ (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))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* 1/3 (* x (pow y 3))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) 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 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | c | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (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) (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) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6)) |
| 66.0ms | y | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (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) (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) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6)) |
| 43.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (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) (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) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6)) |
| 41.0ms | y | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (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) (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) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6)) |
| 28.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (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) (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) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 692 | 3167 |
| 1 | 2698 | 3041 |
| 0 | 8730 | 2696 |
| 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) |
(* 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)))))))))))) |
(* 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))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
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)))))) |
(* 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))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* 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))))))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 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)))))))) |
(* 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))))))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* 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)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 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)))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(+ (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))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* 1/3 (* x (pow y 3))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) 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 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 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 x y) c) |
(* c y) |
(*.f64 c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.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 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) 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 (fma.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)) (*.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 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) 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 (*.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)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 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 (*.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 (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 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) 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) |
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) |
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(*.f64 (*.f64 x y) c) |
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(-.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 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 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 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 375 |
| 0 | 92 | 375 |
| 1 | 375 | 339 |
| 2 | 2997 | 339 |
| 0 | 8438 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y) |
(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))) |
(+.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)) |
(*.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)))) |
(*.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) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) |
#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)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(+.f64 (log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64)))) (log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64))))) |
(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 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))) |
(-.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)))) |
(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 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 x) y) |
(*.f64 y (expm1.f64 x)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (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 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) 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 #s(literal 2 binary64) x))) (+.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 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (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 #s(literal 2 binary64) x)) (+.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)))) |
(expm1.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(expm1.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 x c) y) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 c y) x) |
(*.f64 c (*.f64 x y)) |
(*.f64 x (*.f64 c y)) |
(*.f64 y (*.f64 c x)) |
(*.f64 c y) |
(*.f64 y c) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (*.f64 y y) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y y) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) #s(literal -1/2 binary64)) (-.f64 (*.f64 y y) (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (+.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))) (-.f64 (*.f64 y y) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) x)) |
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(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x y) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) y))) |
(-.f64 y (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))))) x)) |
(-.f64 y (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) y) |
(+.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) |
#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)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) |
Compiled 25 655 to 2 998 computations (88.3% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 17 | 524 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 516 | 24 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 92.1% | (*.f64 (log1p.f64 (/.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))))) c) |
| 25.4% | (*.f64 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) | |
| 60.7% | (*.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) | |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 61.7% | (*.f64 (log1p.f64 (*.f64 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)))) c) | |
| ▶ | 60.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| ▶ | 44.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
| 53.2% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| 26.9% | (*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))) | |
| 35.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| 26.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 42.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) | |
| 22.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) | |
| 45.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 51.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) | |
| 51.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) | |
| ▶ | 22.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
| 51.0% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) | |
| 25.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))) | |
| 72.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| ▶ | 55.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 52.6% | #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)) | |
| ✓ | 59.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 517 to 1 049 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (exp x) 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) (*.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) (*.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) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) | |
| cost-diff | 1 | (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) | |
| cost-diff | 2 | (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) | |
| 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 | (/.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)))) | |
| cost-diff | 0 | (log1p.f64 (/.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))))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.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))))) c) | |
| cost-diff | 1 | (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 657 |
| 0 | 118 | 657 |
| 1 | 237 | 657 |
| 2 | 709 | 649 |
| 3 | 3110 | 646 |
| 0 | 8090 | 578 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.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))))) c) |
(log1p.f64 (/.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 (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 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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 |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(literal 1/2 binary64) |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 y y) y) x) |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (- (exp 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 |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.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))))) c) |
(*.f64 c (log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(log1p.f64 (/.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))))) |
(log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(/.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 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
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 |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) x) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) x) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) x) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) x) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(literal 1/2 binary64) |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) (*.f64 x x))) x)) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) (*.f64 x x)) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (/.f64 y x)) x)) |
(/.f64 (-.f64 (*.f64 y y) y) x) |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) |
y |
#s(approx (- (exp 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 |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) | |
| accuracy | 0.0078125 | (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| accuracy | 4.736282665656686 | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| accuracy | 21.081519656379914 | #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 6.03264802315648 | (/.f64 y (*.f64 x x)) | |
| accuracy | 9.398387959924943 | (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) | |
| accuracy | 26.405290824362304 | (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) | |
| accuracy | 26.87988666829623 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) | |
| accuracy | 1.9390658308046425 | (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) | |
| accuracy | 4.736282665656686 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) | |
| accuracy | 5.000543433827454 | (*.f64 (-.f64 y (*.f64 y y)) x) | |
| accuracy | 27.63402447463373 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) | |
| accuracy | 0.0 | (*.f64 x c) | |
| accuracy | 4.8928375491263445 | (*.f64 (*.f64 x c) y) | |
| accuracy | 25.074537167799825 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.11328125 | (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 0.140625 | (/.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)))) | |
| accuracy | 0.15675501178494128 | (expm1.f64 (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 4.736282665656686 | (*.f64 (log1p.f64 (/.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))))) c) |
| 211.0ms | 149× | 1 | valid |
| 45.0ms | 93× | 0 | valid |
| 42.0ms | 13× | 2 | valid |
| 1.0ms | 1× | 1 | exit |
Compiled 448 to 68 computations (84.8% saved)
ival-mult: 62.0ms (24.3% of total)ival-log1p: 55.0ms (21.5% of total)adjust: 32.0ms (12.5% of total)ival-expm1: 30.0ms (11.7% of total)ival-add: 23.0ms (9% of total)ival-pow: 19.0ms (7.4% of total)ival-e: 8.0ms (3.1% of total)ival-div: 8.0ms (3.1% of total)ival-sub: 7.0ms (2.7% of total)ival-exp: 6.0ms (2.3% of total)const: 4.0ms (1.6% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 (/.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))))) c) |
(log1p.f64 (/.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 (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)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) 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 (+ (* 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 (* 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 (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1/2 (* x (- (pow y 2) y)))) (pow x 2)) |
(/ (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (pow x 2)) |
(* 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))))) |
(* 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))))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (* 9/2 (* x y)))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y)))))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y))))))) |
(* x (- y (pow y 2))) |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(+ 1 (+ (exp x) (pow (exp x) 2))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(- (exp (* 3 x)) 1) |
(* y (- (exp (* 3 x)) 1)) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
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(* 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))))))))) |
(* 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)) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
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(* y (+ 1 (* -3 y))) |
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(* 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)) |
(* y (+ x (* -1 (* x y)))) |
(* (pow x 2) (* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/2 (/ 1 x)))))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ (* y (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* 1/3 (* (pow x 2) y)))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
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(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
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(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
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(* 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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* 1/3 (pow y 3)) |
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)))) |
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(+ (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))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2)))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2))))) |
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) 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)))))) |
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(* 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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 y)) (/ 1 (* (pow x 2) y)))) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(+ (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 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) y)) y)) (* -1/3 (pow x 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | x | @ | inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (- y (* y y)) x) (* (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (* x x)) (/ y (* x x)) (* (+ (* 1/2 x) 1) x)) |
| 69.0ms | c | @ | 0 | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (- y (* y y)) x) (* (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (* x x)) (/ y (* x x)) (* (+ (* 1/2 x) 1) x)) |
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| 33.0ms | c | @ | inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (- y (* y y)) x) (* (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (* x x)) (/ y (* x x)) (* (+ (* 1/2 x) 1) x)) |
| 32.0ms | c | @ | -inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (- y (* y y)) x) (* (+ (* (/ (- (* y y) y) x) -1/2) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ y (* x x)))) (* x x)) (/ y (* x x)) (* (+ (* 1/2 x) 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 947 | 5129 |
| 1 | 3554 | 4877 |
| 0 | 8568 | 4302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 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)))))) |
(* 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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* 1/3 (pow y 3)) |
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)))) |
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(+ (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))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2)))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2))))) |
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) 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)))))) |
(* 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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 y)) (/ 1 (* (pow x 2) y)))) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(+ (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 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) y)) y)) (* -1/3 (pow x 2))))) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) 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 (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 5/2 binary64)) x #s(literal 3 binary64)) x #s(literal 3 binary64)) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) x) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 #s(literal -24 binary64) y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (*.f64 y #s(literal 47/24 binary64)) (fma.f64 #s(literal 3/2 binary64) y (*.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64)))))) #s(literal 1/24 binary64))) x (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -24 binary64) y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (*.f64 y #s(literal 47/24 binary64)) (fma.f64 #s(literal 3/2 binary64) y (*.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) x (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) x y) x) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) y (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y)) x y) x) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 y (fma.f64 (-.f64 (*.f64 y #s(literal 47/24 binary64)) (fma.f64 #s(literal 3/2 binary64) y (*.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y)))) x (*.f64 #s(literal -5/6 binary64) y))) x (*.f64 #s(literal 3/2 binary64) y)) 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))))))))) |
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(+ (* -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) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.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 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (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 (neg.f64 (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.f64 (neg.f64 (expm1.f64 x)))) |
(+ (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))) (neg.f64 y))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 y)) (/ 1 (* (pow x 2) y)))) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) #s(literal 1/3 binary64))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(+ (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 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (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 (neg.f64 (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.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) |
(+ (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)))) (neg.f64 y))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) y)) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) y))) (neg.f64 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 449 |
| 0 | 118 | 449 |
| 1 | 489 | 415 |
| 2 | 4166 | 404 |
| 0 | 8921 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 (/.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))))) c) |
(log1p.f64 (/.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 (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)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (E.f64)) x) (pow.f64 (neg.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (fabs.f64 (E.f64)) x) (pow.f64 (fabs.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
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(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x))) (*.f64 x x) (*.f64 (/.f64 y (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x))) (*.f64 (*.f64 x x) (/.f64 y (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x))) (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 x x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)))) (*.f64 (*.f64 x x) (/.f64 y (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 y (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 y y) y) x)))) |
(/.f64 (/.f64 y (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 y (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(/.f64 y (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x x))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 23 227 to 2 999 computations (87.1% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 8 | 499 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 496 | 27 | 523 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 70.6% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) | |
| 25.4% | (*.f64 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) | |
| 60.7% | (*.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) | |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| ▶ | 61.7% | (*.f64 (log1p.f64 (*.f64 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)))) c) |
| ✓ | 60.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 21.3% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) | |
| ▶ | 53.2% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| ▶ | 46.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
| 50.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) | |
| 50.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) | |
| 24.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) | |
| 21.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) | |
| 26.9% | (*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))) | |
| 35.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| 26.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 42.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) | |
| ▶ | 22.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
| 45.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 51.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) | |
| ✓ | 22.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
| 25.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))) | |
| ▶ | 72.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| ✓ | 55.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 52.6% | #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)) | |
| ✓ | 59.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 555 to 1 075 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 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))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 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)))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 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)))) c) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) | |
| cost-diff | 1 | (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) | |
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 (expm1.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (expm1.f64 x) y) c) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 526 |
| 0 | 108 | 512 |
| 1 | 211 | 512 |
| 2 | 653 | 512 |
| 3 | 2723 | 506 |
| 0 | 8135 | 475 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x) |
(fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) |
#s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) |
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(sqrt.f64 y) |
y |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) |
#s(literal -1/2 binary64) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(log1p.f64 (*.f64 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 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))) |
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) |
c |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 y) x) y)) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 y) x) y)) y) x)) |
(*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 y) x) y)) y) x) |
(fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 y) x) y)) y) |
#s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) |
#s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
c |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) x y) x)) c) |
c |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) x y) x)) |
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) x y) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) x y) |
(sqrt.f64 y) |
y |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
#s(literal -1/2 binary64) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (log1p.f64 (*.f64 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)))) 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) |
(log1p.f64 (*.f64 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)))) |
(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 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 #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) |
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) |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 2.6734859634998354 | (*.f64 (log1p.f64 (*.f64 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)))) c) | |
| accuracy | 6.464243002805737 | #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 | 2.157507838825961 | (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) | |
| accuracy | 2.6734859634998354 | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) | |
| accuracy | 3.8567778722262775 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) | |
| accuracy | 9.892941218363811 | #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) | |
| accuracy | 2.6734859634998354 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) | |
| accuracy | 3.698562290420567 | (*.f64 (neg.f64 x) (*.f64 y y)) | |
| accuracy | 10.227073864021435 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) | |
| accuracy | 11.817783342599679 | #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 2.6734859634998354 | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) | |
| accuracy | 10.172062453832647 | #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 x) y) | |
| accuracy | 2.6539547134998354 | (*.f64 (*.f64 (expm1.f64 x) y) c) | |
| accuracy | 3.8980736769427144 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| 135.0ms | 87× | 1 | valid |
| 81.0ms | 136× | 0 | invalid |
| 13.0ms | 32× | 0 | valid |
| 1.0ms | 1× | 1 | exit |
Compiled 408 to 63 computations (84.6% saved)
ival-mult: 67.0ms (38.9% of total)ival-sub: 21.0ms (12.2% of total)adjust: 14.0ms (8.1% of total)ival-add: 13.0ms (7.6% of total)ival-div: 11.0ms (6.4% of total)ival-expm1: 10.0ms (5.8% of total)ival-pow: 10.0ms (5.8% of total)ival-log1p: 9.0ms (5.2% of total)ival-e: 5.0ms (2.9% of total)const: 4.0ms (2.3% of total)ival-exp: 3.0ms (1.7% of total)ival-sqrt: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x) |
(fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(log1p.f64 (*.f64 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 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))) |
#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)) |
#s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) 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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* 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 (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(* x 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))))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 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 (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* 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))))) |
(* x (- y (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1/2 (* x (- (pow y 2) y))) |
(* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 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))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* 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))))))))) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))) |
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* 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 (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* 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)) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* x (* y (+ 1/2 (* 1/6 x)))) |
(* y (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 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)))))) |
(* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))))) |
(+ (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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 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))))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* 1/3 (* x (pow y 3))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) 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)))))) |
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) 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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* x (- (* -1/6 x) 1/2)) (pow (sqrt -1) 2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* 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 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1/6 x) 1/2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x)) (* -1/2 (+ (* y y) (neg y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- y (* y y)) x) (* (neg x) (* y y)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* 1/6 x) 1/2)) |
| 45.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x)) (* -1/2 (+ (* y y) (neg y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- y (* y y)) x) (* (neg x) (* y y)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* 1/6 x) 1/2)) |
| 44.0ms | x | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x)) (* -1/2 (+ (* y y) (neg y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- y (* y y)) x) (* (neg x) (* y y)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* 1/6 x) 1/2)) |
| 34.0ms | c | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x)) (* -1/2 (+ (* y y) (neg y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- y (* y y)) x) (* (neg x) (* y y)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* 1/6 x) 1/2)) |
| 33.0ms | c | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (+ (* (sqrt y) (sqrt y)) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x)) (* -1/2 (+ (* y y) (neg y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (- y (* y y)) x) (* (neg x) (* y y)) (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) (* (+ (* (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) x) (* -1/2 (+ (* y y) (neg y)))) x) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* 1/6 x) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 4916 |
| 1 | 3430 | 4748 |
| 0 | 8866 | 4174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* 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 (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(* x 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))))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 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 (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* 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))))) |
(* x (- y (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1/2 (* x (- (pow y 2) y))) |
(* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 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))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* 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))))))))) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))) |
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* 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 (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* 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)) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* x (* y (+ 1/2 (* 1/6 x)))) |
(* y (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 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)))))) |
(* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))))) |
(+ (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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 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))))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* 1/3 (* x (pow y 3))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) 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)))))) |
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) 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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* x (- (* -1/6 x) 1/2)) (pow (sqrt -1) 2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* 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 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1/6 x) 1/2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(* c (* y (- (exp x) 1))) |
(*.f64 c (*.f64 (expm1.f64 x) y)) |
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) 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 x y) c) |
(* 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 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (*.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) c) #s(literal 1/6 binary64))) 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 (+ (* 1/2 (* c (* x y))) (* c y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x y) c) (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
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(+.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y)) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) y) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) y) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) 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 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (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)))) |
(fma.f64 (/.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) #s(literal -1 binary64) (-.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 (/ (- (* -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 (-.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))) (neg.f64 y)) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* x (- (* -1/6 x) 1/2)) (pow (sqrt -1) 2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 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))) |
(+ (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 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (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)))) |
(fma.f64 (/.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) #s(literal -1 binary64) (-.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 (/ (- (* -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 (-.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)))) (neg.f64 y)) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1/6 x) 1/2)) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 426 |
| 0 | 108 | 415 |
| 1 | 422 | 387 |
| 2 | 3471 | 381 |
| 0 | 8348 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x) |
(fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x)) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(log1p.f64 (*.f64 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 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))) |
#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)) |
#s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) 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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) |
(*.f64 (*.f64 c (expm1.f64 x)) y) |
(*.f64 (*.f64 c y) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) (*.f64 c y)) |
(*.f64 c (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(*.f64 y (*.f64 (expm1.f64 x) c)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 c y)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (expm1.f64 x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (*.f64 (expm1.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #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 (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (expm1.f64 x))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 x))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #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 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
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(+.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) x (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) (*.f64 x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) x) (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) x)) |
(+.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x)) (*.f64 x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) x) |
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) x) |
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(+.f64 x (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.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 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #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 #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)) |
Compiled 20 077 to 2 712 computations (86.5% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 10 | 470 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 465 | 32 | 497 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 25.4% | (*.f64 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) | |
| 60.7% | (*.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) | |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| ✓ | 61.7% | (*.f64 (log1p.f64 (*.f64 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)))) c) |
| 61.0% | (*.f64 (log1p.f64 (*.f64 y #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)))) c) | |
| ✓ | 60.6% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 21.3% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) | |
| 27.6% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) | |
| ✓ | 53.2% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| 52.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) | |
| 52.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) | |
| 52.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) | |
| 52.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) | |
| 50.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) | |
| 24.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) | |
| 21.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) | |
| 26.9% | (*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))) | |
| 35.4% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| 26.3% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 42.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) | |
| 45.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 51.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) | |
| ✓ | 22.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
| ✓ | 72.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| 50.5% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) | |
| 50.5% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) | |
| 56.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) | |
| 56.1% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) | |
| ✓ | 55.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 52.6% | #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)) | |
| ✓ | 59.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 2 548 to 1 038 computations (59.3% 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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) 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 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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 y #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)))) c) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (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))))) |
(*.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) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (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))) #s(literal 1 binary64)) y)))) |
(*.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)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.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 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (log1p.f64 (/.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))))) c) |
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
9 calls:
| 15.0ms | c |
| 14.0ms | x |
| 13.0ms | y |
| 11.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 11.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | (pow.f64 (E.f64) x) |
| 92.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 92.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 92.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 92.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 92.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 92.2% | 1 | c |
| 92.2% | 1 | x |
| 92.2% | 1 | 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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) 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 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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 y #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)))) c) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (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))))) |
(*.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) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (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))) #s(literal 1 binary64)) y)))) |
(*.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)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.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) |
9 calls:
| 12.0ms | x |
| 11.0ms | c |
| 11.0ms | y |
| 10.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 10.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 1 | c |
| 82.1% | 2 | x |
| 82.7% | 3 | y |
| 82.1% | 2 | (pow.f64 (E.f64) x) |
| 82.1% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 81.9% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 72.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 72.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 72.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) 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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) 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 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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 y #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)))) c) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (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))))) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 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)))) c) |
3 calls:
| 11.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 8.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 2 | x |
| 82.0% | 2 | (pow.f64 (E.f64) x) |
| 82.0% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) 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 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 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 y #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)))) c) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
3 calls:
| 10.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 7.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 2 | x |
| 81.9% | 2 | (pow.f64 (E.f64) x) |
| 81.9% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) 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 (log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) #s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) c) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
5 calls:
| 11.0ms | x |
| 9.0ms | y |
| 7.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 7.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 7.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 76.5% | 3 | y |
| 75.3% | 2 | x |
| 75.3% | 2 | (pow.f64 (E.f64) x) |
| 75.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
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)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) y) x)) c) |
#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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 y x (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (* (- y (* y y)) x) (*.f64 (*.f64 (neg.f64 x) y) y))) x) (*.f64 x y))) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) 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)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) c) (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 (*.f64 c y) #s(literal 1/2 binary64))) x (*.f64 c y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x) x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (neg.f64 y)))) x)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x))) |
(*.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:
| 8.0ms | x |
| 8.0ms | c |
| 8.0ms | y |
| 7.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 7.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 59.1% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 62.5% | 2 | c |
| 59.1% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 59.1% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 62.7% | 3 | y |
| 59.1% | 1 | (pow.f64 (E.f64) x) |
| 59.1% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 59.1% | 1 | 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)) |
2 calls:
| 1.0ms | c |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | y |
| 59.1% | 1 | c |
Compiled 2 to 6 computations (-200% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999974513938 | -1.1102283143937797e-6 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999974513938 | -1.1102283143937797e-6 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999974513938 | -1.1102283143937797e-6 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.915654555099792e-8 | -5.651035195342047e-14 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 8.223986335744969e+46 | 1.698608174948715e+47 |
| 10.0ms | 46× | 1 | valid |
| 3.0ms | 34× | 0 | valid |
Compiled 195 to 166 computations (14.9% saved)
ival-pow: 4.0ms (37.9% of total)ival-e: 2.0ms (19% of total)ival-sub: 1.0ms (9.5% of total)adjust: 1.0ms (9.5% of total)ival-mult: 1.0ms (9.5% of total)ival-log1p: 1.0ms (9.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 260 |
| 1 | 100 | 260 |
| 2 | 139 | 260 |
| 3 | 231 | 260 |
| 4 | 584 | 260 |
| 5 | 3303 | 260 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 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)))) c)) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))) |
(if (<=.f64 c #s(literal 150000000000000006576876456761429603195107147776 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 |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 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)))) c)) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)) |
(if (<=.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))) |
(if (<=.f64 c #s(literal 150000000000000006576876456761429603195107147776 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 0 | 18 | 46 |
| 1 | 72 | 46 |
| 2 | 472 | 40 |
| 3 | 4703 | 40 |
| 0 | 8213 | 25 |
| 0 | 919 | 4916 |
| 1 | 3430 | 4748 |
| 0 | 8866 | 4174 |
| 0 | 692 | 3167 |
| 1 | 2698 | 3041 |
| 0 | 8730 | 2696 |
| 0 | 52 | 375 |
| 0 | 92 | 375 |
| 1 | 375 | 339 |
| 2 | 2997 | 339 |
| 0 | 8438 | 329 |
| 0 | 283 | 1289 |
| 1 | 1139 | 1110 |
| 2 | 4646 | 1080 |
| 0 | 8124 | 1006 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 260 to 77 computations (70.4% saved)
(negabs c)
Compiled 572 to 204 computations (64.3% saved)
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