Logarithmic Transform
Time bar (total: 11.3s)
| 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)
| 1.5s | 4 497× | 1 | valid |
| 413.0ms | 3 759× | 0 | valid |
| 266.0ms | 629× | 1 | invalid |
| 259.0ms | 1 593× | 1 | exit |
| 64.0ms | 687× | 0 | invalid |
ival-pow: 820.0ms (41.9% of total)ival-e: 340.0ms (17.4% of total)ival-mult: 259.0ms (13.2% of total)adjust: 224.0ms (11.4% of total)ival-log1p: 179.0ms (9.1% of total)ival-sub: 112.0ms (5.7% of total)ival-true: 9.0ms (0.5% of total)exact: 9.0ms (0.5% of total)ival-assert: 6.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 183 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 148 | 52 | (5.971989264086485e+299 3.394667383866822e-268 -2.4379678111772972e-147) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 15 | 0 | - | 0 | - | (*.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 | 200 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 44 | 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 | 15 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 163 | 0 |
| - | 66 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 163 | 0 | 0 |
| - | 66 | 0 | 27 |
| number | freq |
|---|---|
| 0 | 27 |
| 1 | 199 |
| 2 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 109.0ms | 358× | 1 | valid |
| 24.0ms | 154× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 45.0ms (43.9% of total)ival-e: 18.0ms (17.5% of total)ival-mult: 14.0ms (13.6% of total)adjust: 9.0ms (8.8% of total)ival-log1p: 7.0ms (6.8% of total)ival-sub: 5.0ms (4.9% of total)ival-add: 4.0ms (3.9% of total)ival-true: 1.0ms (1% of total)ival-assert: 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 |
|---|---|---|
| ▶ | 40.4% | (*.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 | 0.0078125 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | |
| accuracy | 3.6914531198262712 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 33.226360262228276 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 42.57147050892552 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 88.0ms | 179× | 1 | valid |
| 25.0ms | 77× | 0 | valid |
Compiled 53 to 13 computations (75.5% saved)
adjust: 40.0ms (40.2% of total)ival-e: 26.0ms (26.1% of total)ival-pow: 20.0ms (20.1% of total)ival-mult: 5.0ms (5% of total)ival-log1p: 4.0ms (4% of total)ival-sub: 2.0ms (2% of total)ival-add: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 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)))))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (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)) |
(* 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 | |
|---|---|---|---|---|
| 74.0ms | 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)) |
| 59.0ms | 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)) |
| 38.0ms | 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)) |
| 17.0ms | 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)) |
| 16.0ms | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 1255 |
| 1 | 1125 | 1082 |
| 2 | 4567 | 1052 |
| 0 | 8634 | 983 |
| 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)))))))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (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)) |
(* 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) |
(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)) |
(* 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 | 43 |
| 0 | 18 | 43 |
| 1 | 72 | 43 |
| 2 | 472 | 38 |
| 3 | 4703 | 38 |
| 0 | 8213 | 23 |
| 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)) |
| 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))) |
(*.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)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))) |
(*.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))) (fma.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(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)) |
Compiled 6 992 to 1 402 computations (79.9% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 14 | 259 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 246 | 14 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 30.9% | (*.f64 c (/.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))))))))) | |
| 23.1% | (*.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)))))))) | |
| ▶ | 80.3% | (*.f64 c (-.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)))))) |
| 39.1% | (*.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))))) | |
| ▶ | 41.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 45.7% | (*.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))) | |
| ▶ | 49.9% | (*.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))) |
| 55.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 11.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 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))) | |
| 43.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| 54.3% | #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)) | |
| ▶ | 60.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 832 to 514 computations (38.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.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))))) | |
| cost-diff | 0 | (*.f64 c (-.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)))))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 1 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| 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 | 39 | 279 |
| 0 | 67 | 279 |
| 1 | 123 | 279 |
| 2 | 309 | 279 |
| 3 | 1242 | 279 |
| 4 | 4929 | 279 |
| 0 | 8837 | 266 |
| 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 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
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 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(*.f64 c (-.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)))))) |
c |
(-.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))))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
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 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) |
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| 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 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.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 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) c) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
(*.f64 c (-.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 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c) |
c |
(-.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 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 x) |
x |
#s(literal 3 binary64) |
(log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) |
(*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) |
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) |
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2054863769897462 | (-.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))))) | |
| accuracy | 3.6914531198262712 | (*.f64 c (-.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)))))) | |
| accuracy | 6.0611338126505165 | (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) | |
| accuracy | 8.72062729967135 | (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (fma.f64 y x #s(literal 1 binary64)) | |
| accuracy | 3.6914531198262712 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| accuracy | 12.307542801014298 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 33.226360262228276 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 1.2426084380294036 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) | |
| accuracy | 3.6914531198262712 | (*.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))) | |
| accuracy | 5.6883358020373995 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| accuracy | 25.718395860373 | #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)) | |
| accuracy | 0.0 | (*.f64 c y) | |
| accuracy | 5.090887625164161 | (*.f64 (*.f64 c y) x) | |
| accuracy | 24.631309670416744 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.0078125 | (*.f64 y (expm1.f64 x)) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| accuracy | 3.6914531198262712 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 144.0ms | 176× | 1 | valid |
| 49.0ms | 80× | 0 | valid |
Compiled 296 to 37 computations (87.5% saved)
ival-mult: 48.0ms (30.1% of total)ival-expm1: 39.0ms (24.5% of total)ival-pow: 24.0ms (15.1% of total)adjust: 13.0ms (8.2% of total)ival-log1p: 13.0ms (8.2% of total)ival-sub: 7.0ms (4.4% of total)ival-e: 7.0ms (4.4% of total)ival-add: 6.0ms (3.8% of total)exact: 1.0ms (0.6% 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) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.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))) |
#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 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 c (-.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 (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))))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(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)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* 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)))))))))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 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 (pow y 2)))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
(* x (+ (* -1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* c (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))))))))) |
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* x (+ (* c (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))))) (* c (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))))) |
(* x (- (* -1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* -1 y))) |
(* x (- (* x (- (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y))) |
(* x (- (* x (- (* x (- (+ (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2)))))))))) (pow y 3)) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3))) |
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3))) |
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 1/720 (* x (+ (* -360 (pow y 6)) (* 540 (pow y 3))))) (* 5/4 (pow y 3)))))) (pow y 3))) |
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 3/4 (* x (pow y 3))) (* 5/4 (pow y 3)))))) (pow y 3))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))))) |
(* x (+ (* -1 y) (* x (+ (* 1/6 (* x (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))))) |
(* x (+ (* -1 y) (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))) (* x (+ (* 1/24 (* x (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))) |
(log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) |
(* (pow y 3) (pow (- (exp x) 1) 3)) |
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* 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)) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* c (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3))))))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* y (+ (* -1/24 (* c (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4))))))) (* c (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))))) |
(* y (- (* -1/2 (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* -1 (- (exp x) 1)))) |
(* y (- (* y (- (* y (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1)))) |
(* y (- (* y (- (* y (- (+ (* -1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (pow (- (exp x) 1) 3)) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1)))) |
(* (pow y 3) (+ (* -1/2 (* (pow y 3) (pow (- (exp x) 1) 6))) (pow (- (exp x) 1) 3))) |
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* 1/3 (* (pow y 3) (pow (- (exp x) 1) 9))))) (pow (- (exp x) 1) 3))) |
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* (pow y 3) (+ (* -1/4 (* (pow y 3) (pow (- (exp x) 1) 12))) (* 1/3 (pow (- (exp x) 1) 9)))))) (pow (- (exp x) 1) 3))) |
(* -1 (* y (- (exp x) 1))) |
(* y (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))))) |
(* y (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/6 (* y (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))))) |
(* y (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))) (* y (+ (* 1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))) |
(* 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 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) |
(+ (* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) (/ c (* y (- (exp x) 1)))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))))) |
(+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) |
(+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) (/ 1/2 (* (pow y 6) (pow (- (exp x) 1) 6)))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (+ (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))) (* 1/3 (/ 1 (* (pow y 9) (pow (- (exp x) 1) 9))))))) (* 1/2 (/ 1 (* (pow y 6) (pow (- (exp x) 1) 6))))) |
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))) (/ 1 (* y (- (exp x) 1)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))) (/ 1 (* y (- (exp x) 1)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (+ (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (* 2/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (/ 1 (* y (- (exp x) 1)))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))) |
(+ (* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (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)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1)))) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y)))) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 313.0ms | 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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) |
| 236.0ms | 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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) |
| 88.0ms | 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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) |
| 74.0ms | 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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) |
| 43.0ms | 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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 872 | 4801 |
| 1 | 3244 | 4586 |
| 0 | 8524 | 3893 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(* 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)))))) |
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(* 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)))))))))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 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 (pow y 2)))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
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(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* c (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))))))))) |
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* x (+ (* c (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))))) (* c (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))))) |
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(* x (- (* x (- (* x (- (+ (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2)))))))))) (pow y 3)) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3))) |
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3))) |
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 1/720 (* x (+ (* -360 (pow y 6)) (* 540 (pow y 3))))) (* 5/4 (pow y 3)))))) (pow y 3))) |
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(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
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(* 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))) |
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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))))))))) |
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(* y (- (pow (E) x) 1)) |
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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)) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* c (- (exp x) 1)))) |
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(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))) (* y (+ (* -1/24 (* c (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4))))))) (* c (- (pow (- (exp x) 1) 3) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))))) |
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(* y (- (* y (- (* y (- (+ (* -1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (pow (- (exp x) 1) 3)) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* -1 (- (exp x) 1)))) |
(* (pow y 3) (+ (* -1/2 (* (pow y 3) (pow (- (exp x) 1) 6))) (pow (- (exp x) 1) 3))) |
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* 1/3 (* (pow y 3) (pow (- (exp x) 1) 9))))) (pow (- (exp x) 1) 3))) |
(* (pow y 3) (+ (* (pow y 3) (+ (* -1/2 (pow (- (exp x) 1) 6)) (* (pow y 3) (+ (* -1/4 (* (pow y 3) (pow (- (exp x) 1) 12))) (* 1/3 (pow (- (exp x) 1) 9)))))) (pow (- (exp x) 1) 3))) |
(* -1 (* y (- (exp x) 1))) |
(* y (+ (* -1 (- (exp x) 1)) (* 1/2 (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2))))))) |
(* y (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/6 (* y (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3))))) (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))))) |
(* y (+ (* -1 (- (exp x) 1)) (* y (+ (* 1/2 (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))) (* y (+ (* 1/24 (* y (+ (* -12 (pow (- (exp x) 1) 4)) (+ (* -6 (pow (- (exp x) 1) 4)) (* 24 (pow (- (exp x) 1) 4)))))) (* 1/6 (+ (* -2 (pow (- (exp x) 1) 3)) (* 6 (pow (- (exp x) 1) 3)))))))))) |
(* 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 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 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))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) |
(+ (* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))))) (/ c (* y (- (exp x) 1)))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))))) |
(+ (log (pow (- (exp x) 1) 3)) (* -3 (log (/ 1 y)))) |
(+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) (/ 1/2 (* (pow y 6) (pow (- (exp x) 1) 6)))) |
(- (+ (log (pow (- (exp x) 1) 3)) (+ (* -3 (log (/ 1 y))) (+ (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))) (* 1/3 (/ 1 (* (pow y 9) (pow (- (exp x) 1) 9))))))) (* 1/2 (/ 1 (* (pow y 6) (pow (- (exp x) 1) 6))))) |
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ 1 y)))) (/ 1 (* y (- (exp x) 1)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))) (/ 1 (* y (- (exp x) 1)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ 1 y))) (+ (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))) (* 2/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (/ 1 (* y (- (exp x) 1)))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(+ (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)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))) |
(+ (* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (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 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (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)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1)))) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y)))) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 x y) c) |
(* c y) |
(*.f64 c y) |
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1))))))) |
(*.f64 (-.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))))) 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 #s(literal 2 binary64) (pow.f64 y #s(literal 3 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 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) x) #s(literal 1/6 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1/6 binary64))) x)) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 x y) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y y) x) (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)) x) c) #s(literal 1/6 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) (fma.f64 (neg.f64 y) y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 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) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y y) y) |
(* x (* y (log (E)))) |
(*.f64 x y) |
(* 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) (fma.f64 (neg.f64 y) 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))))) |
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(* 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))))) |
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(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) |
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3))))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 6 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) |
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) |
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y))) y)) |
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 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)))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 0 | 67 | 200 |
| 1 | 267 | 200 |
| 2 | 2054 | 200 |
| 0 | 8562 | 185 |
| 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) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.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))) |
#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 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 c (-.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 (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))))) |
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) |
(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)))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c)) (neg.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(/.f64 (*.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #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 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal -1 binary64))) |
(log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (*.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (*.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) |
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(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))) |
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(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))) |
(log1p.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))) (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 9 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 9 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 9 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (expm1.f64 x))) y) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) y)) (fabs.f64 (expm1.f64 x))) |
(*.f64 (fabs.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (fabs.f64 (expm1.f64 x)) (fabs.f64 (*.f64 y (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 x) y) y) #s(literal 3/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 x) y) (expm1.f64 x)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (expm1.f64 x)) y) |
(*.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) y) (expm1.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (expm1.f64 x) y)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (fabs.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (expm1.f64 x))) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (fabs.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (expm1.f64 x) y) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))) |
(*.f64 (expm1.f64 x) (*.f64 y (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 (expm1.f64 x) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) |
(*.f64 y (*.f64 (expm1.f64 x) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (expm1.f64 x) y))) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 6 binary64))) |
(fabs.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal 3 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (*.f64 (log.f64 (expm1.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 x) y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(log1p.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) (-.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) (*.f64 (expm1.f64 x) y)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))) |
(log.f64 (fma.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))) |
Compiled 20 146 to 2 684 computations (86.7% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 17 | 549 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 540 | 23 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) | |
| 50.4% | (*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) c) | |
| ✓ | 94.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 66.6% | (*.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) | |
| ▶ | 17.2% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
| 5.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| 55.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| 65.7% | (*.f64 c (-.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 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))))) | |
| 62.2% | (*.f64 c (-.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) | |
| ✓ | 41.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 14.1% | (*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))) | |
| ▶ | 45.7% | (*.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))) |
| 54.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) | |
| 54.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) y)) x))) | |
| 27.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) | |
| 54.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) | |
| 41.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)))))) | |
| 12.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (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)))) | |
| ▶ | 72.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| ▶ | 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ▶ | 54.3% | #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)) |
| ✓ | 60.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 346 to 897 computations (33.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (neg.f64 (expm1.f64 x))) | |
| cost-diff | 0 | (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| cost-diff | 1 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| cost-diff | 0 | (*.f64 x c) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 (expm1.f64 x) y) | |
| cost-diff | 0 | (*.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 | 55 | 385 |
| 0 | 87 | 385 |
| 1 | 165 | 385 |
| 2 | 498 | 385 |
| 3 | 2188 | 385 |
| 4 | 7474 | 385 |
| 0 | 9025 | 361 |
| 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 |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
c |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(log.f64 (neg.f64 (expm1.f64 x))) |
(neg.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
(log.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
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 |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 (*.f64 c x) y) |
(*.f64 x c) |
(*.f64 c x) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) (*.f64 c x))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) (*.f64 c x)) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) |
c |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(log.f64 (neg.f64 (expm1.f64 x))) |
(neg.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
(log.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.017157489932729534 | (log.f64 (neg.f64 (expm1.f64 x))) | |
| accuracy | 0.13040720360251204 | (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 1.2190795832045414 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| accuracy | 15.506534039802393 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) | |
| accuracy | 1.2190795832045414 | (*.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 | 1.6990067149197068 | (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 | 7.126973844437043 | (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 | 16.212734123598985 | #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 | 0.7159624069066386 | (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) | |
| accuracy | 2.1516182387810265 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| accuracy | 2.842534337105047 | (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) | |
| accuracy | 16.487039521026063 | #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)) | |
| accuracy | 0.0 | (*.f64 x c) | |
| accuracy | 1.4405621356541465 | (*.f64 (*.f64 x c) y) | |
| accuracy | 15.705930092080482 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.0 | (*.f64 (expm1.f64 x) y) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 1.1956420832045414 | (*.f64 (*.f64 (expm1.f64 x) y) c) | |
| accuracy | 10.601683014481335 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| 76.0ms | 50× | 2 | valid |
| 58.0ms | 150× | 0 | invalid |
| 53.0ms | 54× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 329 to 51 computations (84.5% saved)
ival-mult: 43.0ms (28.2% of total)ival-pow: 24.0ms (15.7% of total)adjust: 21.0ms (13.8% of total)ival-log: 16.0ms (10.5% of total)ival-add: 15.0ms (9.8% of total)ival-log1p: 8.0ms (5.2% of total)ival-sub: 7.0ms (4.6% of total)const: 5.0ms (3.3% of total)ival-e: 4.0ms (2.6% of total)ival-expm1: 3.0ms (2% of total)ival-neg: 3.0ms (2% of total)ival-div: 2.0ms (1.3% of total)exact: 1.0ms (0.7% 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) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
#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 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) 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) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(log.f64 (neg.f64 (expm1.f64 x))) |
(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) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* 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))))))) |
(* 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)))))))))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(* c y) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
(* 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))))))))) |
(* 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))))))))))) |
(- (+ (log -1) (log x)) (log (/ -1 y))) |
(- (+ (log -1) (+ (log x) (* 1/2 x))) (log (/ -1 y))) |
(- (+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x))))) (log (/ -1 y))) |
(- (+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) (log (/ -1 y))) |
(+ (log -1) (log x)) |
(+ (log -1) (+ (log x) (* 1/2 x))) |
(+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x))))) |
(+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(+ 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)))))))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* c (* x (- y (pow y 2))))) |
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(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))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(- (log (- 1 (exp x))) (log (/ -1 y))) |
(log (- 1 (exp x))) |
(* 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))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))))) |
(* -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)))))) |
(* 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 (- (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 (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* c (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))) |
(* c (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* c (* x y))) (* c (+ 1 (* 1/2 x))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* 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)) |
(* 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 (- (+ (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)) |
(- (log (- 1 (exp x))) (+ (log -1) (* -1 (log 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))))) |
(* 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)))))) |
(* 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 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (* x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y))) |
(* -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)))) |
(+ (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))))) |
(- (log (- 1 (exp x))) (+ (log -1) (log (/ 1 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)))) |
(* 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)))))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(+ (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))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* -1 (* (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 | |
|---|---|---|---|---|
| 193.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (+ (* (* 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)) |
| 56.0ms | y | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (+ (* (* 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)) |
| 48.0ms | x | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (+ (* (* 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)) |
| 40.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (+ (* (* 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)) |
| 38.0ms | y | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) y) c) (* (- (exp x) 1) y) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (- (log (neg (- (exp x) 1))) (log (/ -1 y))) (log (neg (- (exp x) 1))) (+ (* (* 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 768 | 3654 |
| 1 | 2903 | 3464 |
| 0 | 9026 | 3069 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* c (* y (- (exp x) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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(* 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))))))))) |
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(* 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))))) |
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x |
(* x (+ 1 (* 1/2 x))) |
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(* 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)))))) |
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y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
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(* c y) |
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(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (* x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y))) |
(* -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)))) |
(+ (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))))) |
(- (log (- 1 (exp x))) (+ (log -1) (log (/ 1 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)))) |
(* 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)))))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(+ (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))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* -1 (* (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 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 c (expm1.f64 x)) y) |
(* 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 x) |
(*.f64 c x) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) x) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 #s(literal 1/6 binary64) c) x) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(* x (+ (* c y) (* 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c (*.f64 (*.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)) x) |
(* x (+ (* 1/2 (* c (* x y))) (* c y))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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 (*.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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 x y) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c) x) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(* x (+ (* c (* y (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c (*.f64 (*.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)) x) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) x) |
(* c y) |
(*.f64 c y) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) |
(* x (* y (log (E)))) |
(*.f64 x y) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.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)) #s(literal 1/6 binary64)) x)) x y) x) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x)) x y) x) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 y y) y) y) x) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.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)) #s(literal 1/6 binary64)) x)) 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 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x)) x y) x) |
(- (+ (log -1) (log x)) (log (/ -1 y))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log -1) (+ (log x) (* 1/2 x))) (log (/ -1 y))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 x)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x))))) (log (/ -1 y))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) (log (/ -1 y))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/2880 binary64) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log x) (* 1/2 x))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) |
(+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/2880 binary64) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) |
(* -1/2 (- (pow y 2) y)) |
(*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 y y) y) y) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 1/2 (* x (- y (pow y 2)))) |
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(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) y) y) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) c) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y) |
(* -1/2 (* c (* x (pow y 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x) c) |
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) c (*.f64 c (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) y) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) y) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (+.f64 (/.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(- (+ (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 1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* (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)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 y)) (log.f64 (expm1.f64 x))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 y)) (log.f64 (expm1.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) |
(- (+ (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))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 y)) (log.f64 (expm1.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) |
(- (log (- 1 (exp x))) (+ (log -1) (log (/ 1 y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))) |
(* 1/3 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64)) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (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)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal 1/3 binary64)) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (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))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 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)) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) c (*.f64 (neg.f64 c) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) y))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (neg.f64 c) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y))) (*.f64 y 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 (* (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 (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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* -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 (*.f64 #s(literal -1/3 binary64) 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 (*.f64 #s(literal -1/3 binary64) 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 | 55 | 315 |
| 0 | 87 | 312 |
| 1 | 325 | 312 |
| 2 | 2512 | 309 |
| 0 | 8256 | 281 |
| 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) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
#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 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) 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) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(log.f64 (neg.f64 (expm1.f64 x))) |
(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) |
| 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 (*.f64 c y) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c y))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) (/.f64 y #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 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) 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 x #s(literal 2 binary64))))) (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 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (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 x) #s(literal 2 binary64)) (+.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 x) #s(literal 3 binary64)) (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 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.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 x) #s(literal 3 binary64)) (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 x) y)) |
(*.f64 (*.f64 y x) c) |
(*.f64 (*.f64 c y) x) |
(*.f64 (*.f64 c x) y) |
(*.f64 c (*.f64 x y)) |
(*.f64 x (*.f64 c y)) |
(*.f64 y (*.f64 c x)) |
(*.f64 c x) |
(*.f64 x c) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) y) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) y) y) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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 y) |
(fma.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1/2 binary64) y) |
(fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y y y) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y y y) x) y) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y y y)) y) |
(-.f64 (/.f64 (*.f64 y y) (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y))) |
(-.f64 y (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 y y y))) |
(-.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 y y y) x))) |
(-.f64 y (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x) y) |
(+.f64 y (*.f64 (*.f64 (fma.f64 y y y) #s(literal 1/2 binary64)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) c) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) x) c) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) c) x) |
(*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 c x)) |
(*.f64 (*.f64 c x) (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 c (*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) x)) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 y y y) (*.f64 #s(literal 1/2 binary64) x) y) c)) |
(fma.f64 (*.f64 (*.f64 c (fma.f64 y y y)) (*.f64 #s(literal 1/2 binary64) x)) x (*.f64 (*.f64 c x) y)) |
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(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 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 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 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 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 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 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 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 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 y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.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 y))) x) #s(literal 2 binary64)) (*.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 y))) (*.f64 x y))))) (/.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 y))) x) #s(literal 3 binary64)) (fma.f64 y y (-.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 y))) x) #s(literal 2 binary64)) (*.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 y))) (*.f64 x 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 y))) x) #s(literal 3 binary64)) (fma.f64 y y (-.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 y))) x) #s(literal 2 binary64)) (*.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 y))) (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.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 y))) x) #s(literal 2 binary64)) (*.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 y))) (*.f64 x y)))))) |
(+.f64 (/.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 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 y))) x) #s(literal 2 binary64)))) (/.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 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 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 y))) x) #s(literal 2 binary64))))) |
(+.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 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 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 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 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 y))) x) #s(literal 2 binary64))))) |
(+.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 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 y))) x) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 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 y))) x) 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 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 y))) x) y)) (/.f64 (*.f64 (neg.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 y))) x) 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 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 y))) x)) |
Compiled 29 325 to 3 031 computations (89.7% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 10 | 544 |
| Fresh | 2 | 13 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 539 | 28 | 567 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) | |
| 50.4% | (*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) c) | |
| ✓ | 94.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 66.6% | (*.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) | |
| 6.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| ▶ | 5.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
| 49.9% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) | |
| ▶ | 55.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
| 65.7% | (*.f64 c (-.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 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))))) | |
| 62.2% | (*.f64 c (-.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) | |
| ✓ | 41.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 14.1% | (*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))) | |
| 11.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) x)) x))) | |
| ▶ | 50.7% | (*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
| ▶ | 54.9% | (*.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))) |
| 54.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) y)) x))) | |
| 27.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) | |
| 41.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)))))) | |
| 12.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (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)))) | |
| ▶ | 74.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
| 54.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) x)) | |
| ✓ | 72.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| 54.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) | |
| 57.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) | |
| ✓ | 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 51.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) | |
| ✓ | 60.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 706 to 1 131 computations (33.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) | |
| cost-diff | 0 | #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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) | |
| cost-diff | 0 | (*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) | |
| cost-diff | 2 | (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| cost-diff | 0 | (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) | |
| 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 | 69 | 695 |
| 0 | 103 | 695 |
| 1 | 201 | 695 |
| 2 | 606 | 687 |
| 3 | 2490 | 667 |
| 0 | 8364 | 608 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c 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))) (*.f64 c 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))) (*.f64 c y)) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(*.f64 c y) |
c |
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) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
c |
(*.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))) |
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 (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) |
(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) |
#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)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
y |
(*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) |
(*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) |
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
#s(literal 1/3 binary64) |
(*.f64 x y) |
x |
y |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) |
(log.f64 y) |
y |
(log.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
c |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (*.f64 c y) (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)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 c y) (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))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) |
(*.f64 (*.f64 c 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) |
(*.f64 c y) |
c |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
c |
(*.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 (* (- (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)) c) |
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 (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) |
(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) |
#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)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
y |
(*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 #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 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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)) c) |
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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) |
#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 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) |
(*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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) |
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) |
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #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))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 x y) |
x |
y |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) |
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) |
(log.f64 y) |
y |
(log.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.14643380831182368 | (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) | |
| accuracy | 0.9900758144319503 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| accuracy | 10.085749888620189 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) | |
| accuracy | 0.24605532747381545 | (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) | |
| accuracy | 0.9900758144319503 | (*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) | |
| accuracy | 1.6778533186374087 | (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) | |
| accuracy | 3.12505651277573 | #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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) | |
| accuracy | 0.9900758144319503 | (*.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))) | |
| accuracy | 1.6778533186374087 | (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) | |
| accuracy | 3.12505651277573 | #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)) | |
| accuracy | 6.967634391767105 | #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)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.9900758144319503 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| accuracy | 3.3584651669663974 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) | |
| accuracy | 0.0234375 | (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (expm1.f64 (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.7534485031956923 | (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) | |
| accuracy | 3.321699816004931 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
| 150.0ms | 202× | 0 | invalid |
| 71.0ms | 48× | 1 | valid |
| 4.0ms | 3× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 444 to 59 computations (86.7% saved)
ival-mult: 92.0ms (52.5% of total)ival-add: 26.0ms (14.8% of total)adjust: 11.0ms (6.3% of total)const: 7.0ms (4% of total)ival-log1p: 7.0ms (4% of total)ival-e: 6.0ms (3.4% of total)ival-pow: 6.0ms (3.4% of total)ival-expm1: 5.0ms (2.9% of total)ival-log: 5.0ms (2.9% of total)ival-sub: 3.0ms (1.7% of total)ival-div: 2.0ms (1.1% of total)ival-exp: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% 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))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c 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))) (*.f64 c 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))) (*.f64 c y)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) |
(*.f64 x y) |
(*.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))) |
#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 (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) |
(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) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
(*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
#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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) |
(*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) |
(log.f64 y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
#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)) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) |
(expm1.f64 x) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(* c (* y (- (exp (* 3 x)) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
(* c (* x y)) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x (+ (* c y) (* x (- (* 3/2 (* c y)) (* c y))))) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (* c y) (* 5/6 (* c y))))) (* c y))))) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (+ (* c y) (* x (- (+ (* 5/6 (* c y)) (* 9/8 (* c y))) (+ (* 1/2 (* c y)) (+ (* 5/6 (- (* 3/2 (* c y)) (* c y))) (* c y)))))) (* 5/6 (* c y))))) (* c y))))) |
(* 3 (* c (* x y))) |
(* x (+ (* 3 (* c y)) (* 9/2 (* c (* x y))))) |
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* 9/2 (* c (* x y))))))) |
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* x (+ (* 27/8 (* c (* x y))) (* 9/2 (* c y)))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* 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))))))))) |
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)))))))) |
-1/2 |
(- (* x (- (* 1/3 y) 1/2)) 1/2) |
(+ (log x) (log y)) |
(+ (log x) (+ (log y) (* 1/2 x))) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* 1/24 x))))) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) |
(* 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))))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
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))))))) |
(+ 1 (+ (exp x) (pow (exp x) 2))) |
(log (+ 1 (* y (- (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))))) |
(* 1/6 (* (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))))) |
(* x (- (* 1/3 y) 1/2)) |
(* x (- (* 1/3 y) (+ 1/2 (* 1/2 (/ 1 x))))) |
(+ (log y) (log (- (exp x) 1))) |
(- (exp (* 3 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)))))) |
(- (exp x) 1) |
(* -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))))))) |
(* (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 (+ 1/2 (* -1/3 y)))) |
(* -1 (* x (+ 1/2 (+ (* -1/3 y) (* 1/2 (/ 1 x)))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* 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)) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* 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 (* 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 x) 1/2) |
(- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2) |
(log 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))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 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)))) |
(* 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))))) |
(* 1/3 (* x y)) |
(* y (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* -1 (log (/ 1 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)))) |
(* 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)))))) |
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(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
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(+ (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 (* (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))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(+ (log -1) (+ (log (- (exp x) 1)) (* -1 (log (/ -1 y))))) |
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(* -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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x | @ | -inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* 1/3 (* x y)) (- (* -1/2 x) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (- (exp (* x 3)) 1) (+ (* (* 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) (- (exp x) 1)) |
| 49.0ms | x | @ | inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* 1/3 (* x y)) (- (* -1/2 x) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (- (exp (* x 3)) 1) (+ (* (* 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) (- (exp x) 1)) |
| 38.0ms | c | @ | 0 | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* 1/3 (* x y)) (- (* -1/2 x) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (- (exp (* x 3)) 1) (+ (* (* 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) (- (exp x) 1)) |
| 31.0ms | c | @ | -inf | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* 1/3 (* x y)) (- (* -1/2 x) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (- (exp (* x 3)) 1) (+ (* (* 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) (- (exp x) 1)) |
| 26.0ms | y | @ | 0 | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* 1/3 (* x y)) (- (* -1/2 x) 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 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (+ (log y) (log (- (exp x) 1))) (log y) (- (exp (* x 3)) 1) (+ (* (* 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) (- (exp x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 740 | 3351 |
| 1 | 2796 | 3221 |
| 0 | 8863 | 2854 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(* c (* y (- (exp (* 3 x)) 1))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
3 |
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(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
(* c (* x y)) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x (+ (* c y) (* x (- (* 3/2 (* c y)) (* c y))))) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (* c y) (* 5/6 (* c y))))) (* c y))))) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (+ (* c y) (* x (- (+ (* 5/6 (* c y)) (* 9/8 (* c y))) (+ (* 1/2 (* c y)) (+ (* 5/6 (- (* 3/2 (* c y)) (* c y))) (* c y)))))) (* 5/6 (* c y))))) (* c y))))) |
(* 3 (* c (* x y))) |
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(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* 9/2 (* c (* x y))))))) |
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* x (+ (* 27/8 (* c (* x y))) (* 9/2 (* c y)))))))) |
(* x y) |
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(* c (* x (* y (log (E))))) |
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(* 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))))))))) |
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)))))))) |
-1/2 |
(- (* x (- (* 1/3 y) 1/2)) 1/2) |
(+ (log x) (log y)) |
(+ (log x) (+ (log y) (* 1/2 x))) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* 1/24 x))))) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) |
(* 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))))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
x |
(* x (+ 1 (* 1/2 x))) |
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(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
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(* -1 (* x (+ 1/2 (+ (* -1/3 y) (* 1/2 (/ 1 x)))))) |
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(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
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(* 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 x) 1/2) |
(- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2) |
(log 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))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 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)))) |
(* 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))))) |
(* 1/3 (* x y)) |
(* y (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(* -1 (log (/ 1 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)))) |
(* 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 (* (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))))) |
(* -1 (* y (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(+ (log -1) (+ (log (- (exp x) 1)) (* -1 (log (/ -1 y))))) |
(+ (log -1) (* -1 (log (/ -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)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(/.f64 (*.f64 (*.f64 c y) (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))) |
(* c (* y (- (exp (* 3 x)) 1))) |
(*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) 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)) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64)) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64) (*.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 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (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 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (- (* 3/2 (* c y)) (* c y))))) |
(*.f64 (fma.f64 (*.f64 y (-.f64 (*.f64 #s(literal 3/2 binary64) c) c)) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (* c y) (* 5/6 (* c y))))) (* c y))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c y)) x (*.f64 y (-.f64 (*.f64 #s(literal 3/2 binary64) c) c))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (+ (* c y) (* x (- (+ (* 5/6 (* c y)) (* 9/8 (* c y))) (+ (* 1/2 (* c y)) (+ (* 5/6 (- (* 3/2 (* c y)) (* c y))) (* c y)))))) (* 5/6 (* c y))))) (* c y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 c y) #s(literal 35/24 binary64)) (fma.f64 #s(literal 5/6 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 3/2 binary64) c) c)) (*.f64 c y))) x (*.f64 #s(literal 1/6 binary64) (*.f64 c y))) x (*.f64 y (-.f64 (*.f64 #s(literal 3/2 binary64) c) c))) x (*.f64 c y)) x) |
(* 3 (* c (* x y))) |
(*.f64 (*.f64 (*.f64 c y) #s(literal 3 binary64)) x) |
(* x (+ (* 3 (* c y)) (* 9/2 (* c (* x y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) y (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 c y)) x)) x) |
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* 9/2 (* c (* x y))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) c (*.f64 (*.f64 (*.f64 #s(literal 9/2 binary64) c) (fma.f64 y x y)) x)) x) |
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* x (+ (* 27/8 (* c (* x y))) (* 9/2 (* c y)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) c (*.f64 (fma.f64 (*.f64 x (*.f64 #s(literal 27/8 binary64) c)) (*.f64 y x) (*.f64 (*.f64 #s(literal 9/2 binary64) c) (fma.f64 y x y))) x)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* 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 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* 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 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64)) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (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 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (* y (log (E)))) |
(*.f64 y x) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 y y) y) y) x) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) x) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 y y) y) y) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* x (- (* 1/3 y) 1/2)) 1/2) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) |
(+ (log x) (log y)) |
(+.f64 (log.f64 y) (log.f64 x)) |
(+ (log x) (+ (log y) (* 1/2 x))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 y)) (log.f64 x)) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* 1/24 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 y) (log.f64 x))) |
(+ (log x) (+ (log y) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/2880 binary64) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 y) (log.f64 x))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* 9/2 x))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) |
(* -1/2 (- (pow y 2) y)) |
(*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
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(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 (*.f64 y 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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* (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)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/3 (* x y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) y) x) |
(* y (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* 1/3 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64)) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (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)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (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 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (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 (* (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 (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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) x)) (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 (*.f64 #s(literal -1/3 binary64) 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))) |
(* -1 (* y (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 y) (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)))) |
(+ (log -1) (+ (log (- (exp x) 1)) (* -1 (log (/ -1 y))))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 555 |
| 0 | 103 | 552 |
| 1 | 418 | 528 |
| 2 | 3463 | 516 |
| 0 | 8426 | 461 |
| 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))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c 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))) (*.f64 c 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))) (*.f64 c y)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) |
(*.f64 x y) |
(*.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))) |
#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 (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) |
(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) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
(*.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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
#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 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x)) |
(*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) |
(log.f64 y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
#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)) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) |
(expm1.f64 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 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) (fabs.f64 (pow.f64 (cbrt.f64 (E.f64)) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.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)) (/.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 (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 (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 (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 (/.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 (sqrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (E.f64)) x)) (neg.f64 (pow.f64 (sqrt.f64 (E.f64)) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.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)) x) (pow.f64 (exp.f64 #s(literal 4/3 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.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)) x) (pow.f64 (cbrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 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 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 4/3 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 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.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 (sqrt.f64 (E.f64)) x) (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 x) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) (/.f64 (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 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))) |
(+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 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)))) (/.f64 (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))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c y) (expm1.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.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 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.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)))) |
(*.f64 (*.f64 c (/.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 #s(literal 3 binary64) x)) c) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 c y) (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 c (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 c (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (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 c (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (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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(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) x)) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 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)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) |
#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)) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) |
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x y) |
(fma.f64 x #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) y))) |
(-.f64 y (*.f64 (neg.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y))) x)) |
(-.f64 y (*.f64 (neg.f64 x) #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) y) |
(+.f64 y (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (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))) |
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 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 (pow.f64 (sqrt.f64 (E.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 #s(literal 2 binary64)) (/.f64 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 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (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))) |
Compiled 20 049 to 2 197 computations (89% saved)
33 alts after pruning (26 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 10 | 404 |
| Fresh | 2 | 16 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 399 | 33 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) | |
| 50.4% | (*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) c) | |
| ✓ | 94.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 66.6% | (*.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) | |
| 22.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y)) (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))))) c) | |
| 22.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (log1p.f64 (exp.f64 x)))) c) | |
| 6.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 49.9% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c) | |
| ✓ | 55.8% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
| 5.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 y) (log.f64 x)))) c) | |
| 62.2% | (*.f64 c (-.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) | |
| ✓ | 41.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 14.1% | (*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))) | |
| 50.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) | |
| 11.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) x))) | |
| 29.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) | |
| 50.7% | (*.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 #s(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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))) | |
| ✓ | 54.9% | (*.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))) |
| 54.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) y)) x))) | |
| 27.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) | |
| 41.9% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 y x)))))) | |
| 12.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (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)))) | |
| 61.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))))) | |
| 62.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) | |
| 54.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) x)) | |
| ✓ | 72.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| 54.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) | |
| 74.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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)))) | |
| 57.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) | |
| ✓ | 58.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 51.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) | |
| ✓ | 60.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 2 912 to 1 167 computations (59.9% 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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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 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))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 y) (log.f64 x)))) c) |
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (log1p.f64 (exp.f64 x)))) c) |
(*.f64 c (-.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y)) (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))))) c) |
(*.f64 c (-.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 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))))) |
(*.f64 c (-.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 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (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)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 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))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) |
(*.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)))))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))) c) |
(*.f64 c (/.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))))))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.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) |
9 calls:
| 14.0ms | y |
| 14.0ms | x |
| 14.0ms | c |
| 13.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 13.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | c |
| 94.2% | 1 | x |
| 99.7% | 3 | y |
| 94.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 94.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 94.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 94.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 94.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 94.2% | 1 | (pow.f64 (E.f64) x) |
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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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 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))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 y) (log.f64 x)))) c) |
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (log1p.f64 (exp.f64 x)))) c) |
(*.f64 c (-.f64 #s(approx (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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 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))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 y) (log.f64 x)))) c) |
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
9 calls:
| 50.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 25.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 10.0ms | c |
| 10.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | c |
| 94.2% | 1 | x |
| 94.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 94.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 94.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 94.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 94.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 94.2% | 1 | (pow.f64 (E.f64) x) |
| 94.2% | 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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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 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))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (+ (log y) (log (- (exp x) 1))) (+.f64 (log.f64 y) (log.f64 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) |
9 calls:
| 29.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 9.0ms | c |
| 9.0ms | y |
| 9.0ms | x |
| 7.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | c |
| 84.0% | 2 | x |
| 83.9% | 3 | y |
| 72.0% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 72.0% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 72.0% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 83.5% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 84.0% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 84.0% | 2 | (pow.f64 (E.f64) x) |
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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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)) |
| Outputs |
|---|
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #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))))) |
5 calls:
| 53.0ms | (pow.f64 (E.f64) x) |
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 6.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 79.9% | 3 | y |
| 74.4% | 2 | x |
| 74.3% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 74.3% | 2 | (pow.f64 (E.f64) x) |
Compiled 17 to 26 computations (-52.9% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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)) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
3 calls:
| 7.0ms | c |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 2 | x |
| 72.0% | 1 | c |
| 72.0% | 1 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (- (exp x) 1) y) c) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) c)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x y) x) #s(literal 1 binary64)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64) (/.f64 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(approx (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #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 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (-.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))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.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)) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) (-.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))) y)) x) x (*.f64 y x)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (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 y))) 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:
| 37.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 26.0ms | (pow.f64 (E.f64) x) |
| 7.0ms | c |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 2 | y |
| 60.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 60.8% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 60.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 60.8% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 64.0% | 2 | c |
| 60.8% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 60.8% | 1 | (pow.f64 (E.f64) x) |
| 62.6% | 2 | x |
Compiled 49 to 59 computations (-20.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
3 calls:
| 1.0ms | c |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 1 | x |
| 60.8% | 1 | y |
| 60.8% | 1 | c |
Compiled 3 to 9 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 2192433630.194562 | 9578115866907116.0 |
| 4.0ms | -1.8267124944556354e-39 | -6.432267375831737e-41 |
| 42.0ms | 145× | 1 | valid |
| 4.0ms | 49× | 0 | invalid |
| 1.0ms | 15× | 0 | valid |
Compiled 466 to 379 computations (18.7% saved)
ival-pow: 14.0ms (35.3% of total)ival-sub: 11.0ms (27.8% of total)ival-e: 6.0ms (15.1% of total)ival-mult: 4.0ms (10.1% of total)adjust: 3.0ms (7.6% of total)ival-log1p: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 4.022027202899796e-89 | 9.336555773251468e-86 |
| 0.0ms | -1.8267124944556354e-39 | -6.432267375831737e-41 |
| 19.0ms | 87× | 1 | valid |
| 3.0ms | 41× | 0 | valid |
Compiled 339 to 286 computations (15.6% saved)
ival-pow: 8.0ms (44.1% of total)ival-e: 3.0ms (16.5% of total)adjust: 2.0ms (11% of total)ival-mult: 2.0ms (11% of total)ival-sub: 1.0ms (5.5% of total)ival-log1p: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01088436386930155 | 1.0 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 97.0ms | 3.19870429534613e+186 | 5.159849500032253e+196 |
| 92.0ms | -3.707716667985234e+130 | -1.1853560709771065e+130 |
| 123.0ms | 206× | 1 | valid |
| 39.0ms | 65× | 1 | invalid |
| 9.0ms | 108× | 0 | invalid |
| 3.0ms | 34× | 0 | valid |
Compiled 540 to 466 computations (13.7% saved)
ival-sub: 72.0ms (45.3% of total)ival-pow: 34.0ms (21.4% of total)ival-e: 33.0ms (20.8% of total)ival-mult: 8.0ms (5% of total)ival-log1p: 6.0ms (3.8% of total)adjust: 5.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 93.0ms | -4.3562628622117336e-157 | -4.242094965342199e-162 |
| 42.0ms | 114× | 1 | valid |
| 3.0ms | 8× | 1 | invalid |
| 2.0ms | 30× | 0 | valid |
Compiled 339 to 286 computations (15.6% saved)
ival-pow: 27.0ms (65.1% of total)ival-e: 5.0ms (12.1% of total)ival-mult: 3.0ms (7.2% of total)ival-sub: 2.0ms (4.8% of total)adjust: 2.0ms (4.8% of total)ival-log1p: 2.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 7.850101073638555e-73 | 1.436844402325101e-65 |
| 2.0ms | 8× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 51 to 46 computations (9.8% saved)
ival-pow: 1.0ms (48.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-e: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-log1p: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 295 |
| 1 | 109 | 295 |
| 2 | 137 | 295 |
| 3 | 214 | 295 |
| 4 | 470 | 295 |
| 5 | 2629 | 295 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2200000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.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 y #s(literal -6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 6439266133761187/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 5764607523034235/288230376151711744 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 y #s(literal -36000000000000001167140661947996166359321442404826781424457412432323062841996736264574972940409499767047798799956673728751484272640 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 250000000000000010225220052190349500321504934566574239490005428360523665872999431888590501134561299343390815461939453361907883196574476485043578046684944325843838649695735934688663566127464448 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))))))) |
(if (<=.f64 x #s(literal -3153462618782083/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2200000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.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 y #s(literal -6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 6439266133761187/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (or (<=.f64 y #s(literal -6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (not (<=.f64 y #s(literal 6439266133761187/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (/.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 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 5764607523034235/288230376151711744 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 y #s(literal -36000000000000001167140661947996166359321442404826781424457412432323062841996736264574972940409499767047798799956673728751484272640 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 250000000000000010225220052190349500321504934566574239490005428360523665872999431888590501134561299343390815461939453361907883196574476485043578046684944325843838649695735934688663566127464448 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))))))) |
(if (or (<=.f64 y #s(literal -36000000000000001167140661947996166359321442404826781424457412432323062841996736264574972940409499767047798799956673728751484272640 binary64)) (not (<=.f64 y #s(literal 250000000000000010225220052190349500321504934566574239490005428360523665872999431888590501134561299343390815461939453361907883196574476485043578046684944325843838649695735934688663566127464448 binary64)))) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))) |
(if (<=.f64 x #s(literal -3153462618782083/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 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 | 55 | 315 |
| 0 | 87 | 312 |
| 1 | 325 | 312 |
| 2 | 2512 | 309 |
| 0 | 8256 | 281 |
| 0 | 872 | 4801 |
| 1 | 3244 | 4586 |
| 0 | 8524 | 3893 |
| 0 | 280 | 1255 |
| 1 | 1125 | 1082 |
| 2 | 4567 | 1052 |
| 0 | 8634 | 983 |
| 0 | 69 | 555 |
| 0 | 103 | 552 |
| 1 | 418 | 528 |
| 2 | 3463 | 516 |
| 0 | 8426 | 461 |
| 0 | 39 | 228 |
| 0 | 67 | 200 |
| 1 | 267 | 200 |
| 2 | 2054 | 200 |
| 0 | 8562 | 185 |
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 72 | 43 |
| 2 | 472 | 38 |
| 3 | 4703 | 38 |
| 0 | 8213 | 23 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 986 to 452 computations (54.2% saved)
(negabs c)
Compiled 750 to 288 computations (61.6% saved)
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