Logarithmic Transform
Time bar (total: 11.4s)
| 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 | 4 596× | 1 | valid |
| 408.0ms | 3 660× | 0 | valid |
| 275.0ms | 656× | 1 | invalid |
| 238.0ms | 1 527× | 1 | exit |
| 95.0ms | 659× | 0 | invalid |
ival-pow: 847.0ms (44.3% of total)ival-e: 413.0ms (21.6% of total)ival-mult: 220.0ms (11.5% of total)adjust: 165.0ms (8.6% of total)ival-log1p: 143.0ms (7.5% of total)ival-sub: 101.0ms (5.3% of total)ival-true: 10.0ms (0.5% of total)exact: 9.0ms (0.5% of total)ival-assert: 5.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 176 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 161 | 48 | (1.165592642526307e+195 -5.604949934386967e-263 -7.058391890918029e-193) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 21 | 0 | - | 1 | (1.8427481562500078e+133 -1.57866386129923e-192 2.9270134777696804e-120) | (*.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 | 209 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 29 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 20 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 148 | 0 |
| - | 83 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 148 | 0 | 0 |
| - | 83 | 0 | 25 |
| number | freq |
|---|---|
| 0 | 25 |
| 1 | 204 |
| 2 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 144.0ms | 344× | 1 | valid |
| 29.0ms | 168× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 68.0ms (50.2% of total)ival-sub: 22.0ms (16.2% of total)ival-e: 16.0ms (11.8% of total)ival-mult: 10.0ms (7.4% of total)adjust: 8.0ms (5.9% of total)ival-log1p: 7.0ms (5.2% of total)ival-add: 4.0ms (3% of total)ival-true: 1.0ms (0.7% 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 | 95 | 113 |
| 2 | 175 | 113 |
| 3 | 460 | 113 |
| 4 | 990 | 113 |
| 5 | 1577 | 113 |
| 6 | 2407 | 113 |
| 7 | 2877 | 113 |
| 8 | 3052 | 113 |
| 9 | 3132 | 113 |
| 10 | 3199 | 113 |
| 11 | 3227 | 113 |
| 12 | 3261 | 113 |
| 13 | 3278 | 113 |
| 14 | 3281 | 113 |
| 15 | 3283 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 34 | 12 |
| 3 | 46 | 12 |
| 4 | 55 | 12 |
| 5 | 69 | 12 |
| 6 | 100 | 12 |
| 7 | 154 | 12 |
| 8 | 278 | 12 |
| 9 | 413 | 12 |
| 10 | 509 | 12 |
| 11 | 527 | 12 |
| 12 | 531 | 12 |
| 0 | 531 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 47.5% | (*.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 | 34 | 51 |
| 3 | 46 | 51 |
| 4 | 55 | 51 |
| 5 | 69 | 51 |
| 6 | 100 | 51 |
| 7 | 154 | 51 |
| 8 | 278 | 51 |
| 9 | 413 | 51 |
| 10 | 509 | 51 |
| 11 | 527 | 51 |
| 12 | 531 | 51 |
| 0 | 531 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 4.1910302701491515 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 36.70203959254731 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 41.05133763088199 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 52.0ms | 172× | 1 | valid |
| 16.0ms | 84× | 0 | valid |
Compiled 53 to 13 computations (75.5% saved)
ival-pow: 21.0ms (44% of total)ival-e: 8.0ms (16.8% of total)ival-mult: 7.0ms (14.7% of total)adjust: 4.0ms (8.4% of total)ival-log1p: 3.0ms (6.3% of total)ival-sub: 2.0ms (4.2% of total)ival-add: 2.0ms (4.2% 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 | |
|---|---|---|---|---|
| 93.0ms | 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)) |
| 55.0ms | 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)) |
| 44.0ms | y | @ | -inf | ((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1)) |
| 30.0ms | 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)) |
| 19.0ms | 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 | 1010 | 1079 |
| 2 | 3371 | 1053 |
| 0 | 8422 | 965 |
| 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 (-.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 #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 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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 #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 #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)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #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)))) |
(* 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) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) 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) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 (pow.f64 (E.f64) x)))) |
(+ (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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.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)))) y)) y)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (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 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (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 | 70 | 43 |
| 2 | 454 | 38 |
| 3 | 4965 | 38 |
| 0 | 8945 | 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 |
|---|
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 y (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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.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 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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (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 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (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 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (neg.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)) #s(literal 1 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #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 (-.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 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #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 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) (log.f64 (neg.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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.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 4 binary64))) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.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 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #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 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (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 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.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)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.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 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.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 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 x))))) |
(+.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 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (*.f64 (neg.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 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))) |
(+.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)))) |
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(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (exp.f64 x) (/.f64 (exp.f64 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 (/.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)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -2 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 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.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 (/.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)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -2 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 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (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 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (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 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) x)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (pow.f64 (E.f64) (*.f64 x #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 6 binary64)) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -1 binary64))) |
(-.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)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (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)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
Compiled 8 985 to 1 875 computations (79.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 15 | 368 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 354 | 15 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 42.3% | (*.f64 c (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 56.0% | (*.f64 c (log.f64 (fma.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) | |
| ▶ | 56.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
| 20.9% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y)))) | |
| 40.2% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) | |
| ▶ | 43.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 36.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 46.9% | (*.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) | |
| 51.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (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))) | |
| ▶ | 49.3% | (*.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))) |
| 55.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 51.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| 53.4% | #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)) | |
| ▶ | 64.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 654 to 490 computations (25.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) | |
| cost-diff | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) | |
| cost-diff | 2 | (/.f64 y (pow.f64 (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 | 36 | 234 |
| 0 | 60 | 224 |
| 1 | 93 | 224 |
| 2 | 151 | 222 |
| 3 | 298 | 222 |
| 4 | 725 | 222 |
| 5 | 1652 | 198 |
| 6 | 3126 | 198 |
| 7 | 4475 | 198 |
| 8 | 5538 | 198 |
| 9 | 5968 | 198 |
| 10 | 6254 | 198 |
| 11 | 6286 | 198 |
| 12 | 6300 | 198 |
| 13 | 6322 | 198 |
| 14 | 6398 | 198 |
| 15 | 6442 | 198 |
| 16 | 6462 | 198 |
| 17 | 6495 | 198 |
| 18 | 6531 | 198 |
| 19 | 6561 | 198 |
| 20 | 6588 | 198 |
| 21 | 6603 | 198 |
| 22 | 7251 | 198 |
| 23 | 7567 | 198 |
| 24 | 7634 | 198 |
| 25 | 7634 | 198 |
| 26 | 7634 | 198 |
| 27 | 7634 | 198 |
| 28 | 7634 | 198 |
| 29 | 7634 | 198 |
| 30 | 7634 | 198 |
| 0 | 7634 | 190 |
| 1× | iter limit |
| 1× | saturated |
| 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 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
y |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) y)) 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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 x) y) |
y |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
x |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) | |
| accuracy | 4.1910302701491515 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) | |
| accuracy | 36.70203959254731 | (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) | |
| accuracy | 0.0 | (fma.f64 y x #s(literal 1 binary64)) | |
| accuracy | 4.1910302701491515 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| accuracy | 13.571881031683153 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 36.70203959254731 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 0.7436341339015056 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) | |
| accuracy | 4.1910302701491515 | (*.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 | 4.706102214074017 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| accuracy | 25.409547751838222 | #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 | 6.082317631136956 | (*.f64 (*.f64 c y) x) | |
| accuracy | 24.34513966982555 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.00390625 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| accuracy | 0.0078125 | (*.f64 y (expm1.f64 x)) | |
| accuracy | 4.1910302701491515 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 221.0ms | 171× | 1 | valid |
| 57.0ms | 85× | 0 | valid |
Compiled 216 to 34 computations (84.3% saved)
ival-log1p: 46.0ms (20.9% of total)ival-expm1: 43.0ms (19.6% of total)ival-add: 40.0ms (18.2% of total)ival-e: 25.0ms (11.4% of total)ival-pow: 24.0ms (10.9% of total)ival-mult: 23.0ms (10.5% of total)adjust: 11.0ms (5% of total)ival-sub: 4.0ms (1.8% of total)ival-div: 3.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
(pow.f64 (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) |
(* 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)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 x)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(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))) |
(+ 1 (* y (- (exp x) 1))) |
(/ 1 (- (exp x) 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)) |
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(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
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(+ (* 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)))))) |
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(* 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)))) |
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(+ (* -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)))) |
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(* -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))) |
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(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
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(* 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)))) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 90.0ms | 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) (/ y (pow (- (exp x) 1) -1)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (pow (- (exp x) 1) -1)) |
| 77.0ms | 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) (/ y (pow (- (exp x) 1) -1)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (pow (- (exp x) 1) -1)) |
| 72.0ms | 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) (/ y (pow (- (exp x) 1) -1)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (pow (- (exp x) 1) -1)) |
| 58.0ms | 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) (/ y (pow (- (exp x) 1) -1)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (pow (- (exp x) 1) -1)) |
| 38.0ms | 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) (/ y (pow (- (exp x) 1) -1)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (pow (- (exp x) 1) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 559 | 2355 |
| 1 | 1888 | 2229 |
| 2 | 6188 | 2159 |
| 0 | 8458 | 1729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
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)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 x)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(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))) |
(+ 1 (* y (- (exp x) 1))) |
(/ 1 (- (exp x) 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))))))))) |
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(* 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)))) |
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(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* 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))) |
(* y (- (+ (exp x) (/ 1 y)) 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)))) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 x y) c) |
(* c y) |
(*.f64 c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 (*.f64 c (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) (*.f64 c (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y))))))) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) (*.f64 c (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y))))))) x) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 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 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(fma.f64 (fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 x)) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 1/2 (* x (- y (pow y 2)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x) x) |
(+ 1 (* y (- (pow (E) x) 1))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* y (- (exp x) 1))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(/ 1 (- (exp x) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x))) y) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)))) y (*.f64 (expm1.f64 x) c)) y) |
(* 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))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y)) y (*.f64 (expm1.f64 x) c)) y) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) y) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* c (* y (- (pow (E) x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) 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 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x))) 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 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64)))) y (*.f64 (expm1.f64 x) 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 #s(literal -1/2 binary64) c) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y)) y (*.f64 (expm1.f64 x) c)) y) |
(* y (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(* y (- (pow (E) x) 1)) |
(*.f64 (expm1.f64 x) y) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) 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 (expm1.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 x) #s(literal -1/2 binary64))) y (expm1.f64 x)) 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 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* x (* y (+ 1 (* 1/2 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(*.f64 (+.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))) y) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -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))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y)))) |
(+ (* -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)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) |
(+ (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 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) 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) y) (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) 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) y) (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(* -1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 x)) (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 (expm1.f64 x) y)) (log.f64 y)) (log.f64 (expm1.f64 x))) |
(- (+ (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 (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 (- (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 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* y (- (+ (exp x) (/ 1 y)) 1)) |
(fma.f64 (expm1.f64 x) y #s(literal 1 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) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 c (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 c y) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) y)) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (neg.f64 (expm1.f64 x)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.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)))) y)) y)) |
(* c (+ (log (* -1 (- (pow (E) 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 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) 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 (- (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 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (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 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 c (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 c y) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (neg.f64 (expm1.f64 x)))) (log.f64 (/.f64 #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 (expm1.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.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)))) y)) y)) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y)))) y) y) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 202 |
| 0 | 60 | 192 |
| 1 | 211 | 190 |
| 2 | 1528 | 190 |
| 0 | 8306 | 174 |
| 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 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
(pow.f64 (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))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
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(fma.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (expm1.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))) |
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))) |
Compiled 13 797 to 2 452 computations (82.2% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 18 | 539 |
| Fresh | 8 | 2 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 531 | 23 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.0% | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
| 33.3% | (*.f64 (log1p.f64 (*.f64 y (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) c) | |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 62.5% | (*.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) | |
| 4.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c) | |
| 46.9% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) | |
| 54.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) | |
| 55.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| 42.3% | (*.f64 c (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 20.9% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))))))) | |
| ▶ | 48.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
| 43.8% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 43.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 40.7% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))))))) | |
| ▶ | 36.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 54.2% | (*.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) x #s(literal 1 binary64)) y)) x))) | |
| 53.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) | |
| 34.1% | (*.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))) | |
| 79.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| 78.5% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x))) y)) | |
| ▶ | 57.7% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
| ▶ | 59.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ✓ | 64.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 966 to 739 computations (23.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) | |
| cost-diff | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) | |
| cost-diff | 0 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) | |
| cost-diff | 0 | (*.f64 x c) | |
| cost-diff | 0 | (*.f64 (*.f64 x c) y) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) | |
| cost-diff | 1 | (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (neg.f64 y)) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 292 |
| 0 | 76 | 282 |
| 1 | 131 | 276 |
| 2 | 242 | 264 |
| 3 | 679 | 264 |
| 4 | 2092 | 250 |
| 5 | 4222 | 250 |
| 6 | 7697 | 250 |
| 0 | 8144 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 x)) |
#s(literal -1 binary64) |
(expm1.f64 x) |
x |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 y) |
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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
(*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) |
(*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) |
c |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 y (expm1.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (expm1.f64 x)) |
#s(literal -1 binary64) |
(expm1.f64 x) |
x |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 y) |
(neg.f64 y) |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) x)) |
(*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) x) |
(*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) |
c |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) c) |
c |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) | |
| accuracy | 4.1910302701491515 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) | |
| accuracy | 16.289871149688196 | #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 36.70203959254731 | (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) | |
| accuracy | 4.1910302701491515 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| accuracy | 11.693575254618965 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) | |
| accuracy | 36.70203959254731 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) | |
| accuracy | 1.031437670543585 | (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) | |
| accuracy | 2.7259667310363085 | (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) | |
| accuracy | 25.337027640195398 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) | |
| accuracy | 0.0 | (*.f64 x c) | |
| accuracy | 4.957756496909791 | (*.f64 (*.f64 x c) y) | |
| accuracy | 24.34513966982555 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (expm1.f64 x)) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) | |
| accuracy | 0.5865911950223784 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) | |
| accuracy | 4.1910302701491515 | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
| 167.0ms | 171× | 1 | valid |
| 28.0ms | 85× | 0 | valid |
Compiled 272 to 44 computations (83.8% saved)
ival-mult: 37.0ms (22.5% of total)ival-pow: 29.0ms (17.6% of total)ival-add: 28.0ms (17% of total)ival-div: 25.0ms (15.2% of total)ival-log1p: 14.0ms (8.5% of total)adjust: 12.0ms (7.3% of total)ival-e: 8.0ms (4.9% of total)ival-expm1: 7.0ms (4.2% of total)ival-sub: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
(*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) |
(*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 x)) |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c (* x (* y (+ 1 (* x (+ 1/2 (* -1/2 y))))))) |
(* c (* y (+ 1 (* x (+ 1/2 (* -1/2 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))))))) |
(/ 1 (* x y)) |
(/ (+ (* -1/2 (/ x y)) (/ 1 y)) x) |
(/ (+ (* x (- (* 1/12 (/ x y)) (* 1/2 (/ 1 y)))) (/ 1 y)) x) |
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) y)) (* 1/12 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) x) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(* c y) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
y |
(+ y (* x (* y (+ 1/2 (* -1/2 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))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* x (+ 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))))))))))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(/ -1 x) |
(/ (- (* 1/2 x) 1) x) |
(/ (- (* x (+ 1/2 (* -1/12 x))) 1) x) |
(/ (- (* x (+ 1/2 (* x (- (* 1/720 (pow x 2)) 1/12)))) 1) x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 x)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(* y (- (exp x) 1)) |
(/ 1 (* y (- (exp x) 1))) |
(* c (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))) |
(* (pow x 2) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* c (* x (* y (+ 1/2 (* -1/2 y))))) |
(* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(+ 1 (* y (- (exp x) 1))) |
(/ -1 (- (exp x) 1)) |
(/ 1 (- (exp x) 1)) |
(* -1 (* x (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 y) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* 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))))))))) |
(* 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))))) |
(* 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)) |
(* 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 (+ (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 (* 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 (* 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))))) |
(* y (- (+ (/ 1 y) (pow (E) 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))))) |
(* y (- (+ (exp x) (/ 1 y)) 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)))))) |
(* 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)))) |
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(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 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)))) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | c | @ | 0 | ((/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (* 1 (neg y)) (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (/ y (pow (- (exp x) 1) -1)) (/ -1 (- (exp x) 1)) (pow (- (exp x) 1) -1)) |
| 27.0ms | c | @ | -inf | ((/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (* 1 (neg y)) (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (/ y (pow (- (exp x) 1) -1)) (/ -1 (- (exp x) 1)) (pow (- (exp x) 1) -1)) |
| 25.0ms | c | @ | inf | ((/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (* 1 (neg y)) (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (/ y (pow (- (exp x) 1) -1)) (/ -1 (- (exp x) 1)) (pow (- (exp x) 1) -1)) |
| 19.0ms | x | @ | -inf | ((/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (* 1 (neg y)) (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (/ y (pow (- (exp x) 1) -1)) (/ -1 (- (exp x) 1)) (pow (- (exp x) 1) -1)) |
| 18.0ms | x | @ | inf | ((/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (* 1 (neg y)) (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (+ 1 (/ y (pow (- (exp x) 1) -1))) (/ y (pow (- (exp x) 1) -1)) (/ -1 (- (exp x) 1)) (pow (- (exp x) 1) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 2664 |
| 1 | 1995 | 2452 |
| 2 | 6736 | 2340 |
| 0 | 8608 | 1882 |
| 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 x) |
(* c (* x (* y (+ 1 (* x (+ 1/2 (* -1/2 y))))))) |
(* c (* y (+ 1 (* x (+ 1/2 (* -1/2 y)))))) |
(* x y) |
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(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(/ 1 (* x y)) |
(/ (+ (* -1/2 (/ x y)) (/ 1 y)) x) |
(/ (+ (* x (- (* 1/12 (/ x y)) (* 1/2 (/ 1 y)))) (/ 1 y)) x) |
(/ (+ (* x (- (* x (+ (* -1/720 (/ (pow x 2) y)) (* 1/12 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) x) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(* c y) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
y |
(+ y (* x (* y (+ 1/2 (* -1/2 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))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* x (+ 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))))))))))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))) |
(/ -1 x) |
(/ (- (* 1/2 x) 1) x) |
(/ (- (* x (+ 1/2 (* -1/12 x))) 1) x) |
(/ (- (* x (+ 1/2 (* x (- (* 1/720 (pow x 2)) 1/12)))) 1) x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 x)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(* y (- (exp x) 1)) |
(/ 1 (* y (- (exp x) 1))) |
(* c (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))) |
(* (pow x 2) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* c (* x (* y (+ 1/2 (* -1/2 y))))) |
(* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
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(log (+ 1 (* y (- (exp x) 1)))) |
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(/ -1 (- (exp x) 1)) |
(/ 1 (- (exp x) 1)) |
(* -1 (* x (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* -1 y) |
(* c (* y (- (exp x) 1))) |
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(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
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(* 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)))) |
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(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
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(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
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(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
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(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* c (* (pow 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 (* 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)))) |
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(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
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(* y (- (+ (exp x) (/ 1 y)) 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)))))) |
(* 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)))) |
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(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 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)))) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* c x) |
(*.f64 c x) |
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(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -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))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y)))) |
(+ (* -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)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) 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 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) 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 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(*.f64 (*.f64 c (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)) |
(* -1/2 (* c (* x (pow y 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) c) |
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y))) |
(*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 y y)) |
(* -1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 x)) (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 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (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 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #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 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 y)) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) |
(- (+ (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 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) (/.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 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 x))) |
(* y (- (+ (exp x) (/ 1 y)) 1)) |
(fma.f64 (expm1.f64 x) y #s(literal 1 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 c y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (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) (/.f64 c (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) 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 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) 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 (- (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 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (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 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.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) (/.f64 c (expm1.f64 x))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 (/.f64 #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 (expm1.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.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)))) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 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 (+.f64 (log.f64 (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.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)))) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (- (* -1 (- (exp x) 1)) (/ 1 y)))) |
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 234 |
| 0 | 76 | 226 |
| 1 | 287 | 219 |
| 2 | 1977 | 219 |
| 0 | 8891 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
(*.f64 (*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x) |
(*.f64 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 x)) |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #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 (/.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (pow.f64 (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(+.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 y (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(pow.f64 (/.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (*.f64 (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)) (pow.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(/.f64 (neg.f64 y) (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y (neg.f64 (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y)) |
(neg.f64 (/.f64 (neg.f64 y) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (neg.f64 y) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (/.f64 (neg.f64 y) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) |
(neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 10 885 to 1 857 computations (82.9% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 14 | 420 |
| Fresh | 6 | 9 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 416 | 27 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
| ▶ | 74.5% | (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 58.7% | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) | |
| 73.3% | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) | |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 62.5% | (*.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) | |
| 64.0% | (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) | |
| 4.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c) | |
| ▶ | 55.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
| 42.3% | (*.f64 c (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 20.9% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))))))) | |
| 43.8% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) | |
| 40.7% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))))))) | |
| ✓ | 36.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| ▶ | 46.9% | (*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
| 54.2% | (*.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) x #s(literal 1 binary64)) y)) x))) | |
| 53.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) | |
| 79.2% | #s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| ▶ | 63.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
| 54.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) | |
| 57.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) | |
| 34.8% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) | |
| 58.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x)) | |
| 42.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 y y))) x)) | |
| 39.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) | |
| ✓ | 59.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ✓ | 64.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 1 309 to 986 computations (24.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) | |
| cost-diff | 0 | (*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c 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 | (neg.f64 (expm1.f64 x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) | |
| cost-diff | 3 | (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 375 |
| 0 | 88 | 375 |
| 1 | 150 | 375 |
| 2 | 344 | 368 |
| 3 | 979 | 352 |
| 4 | 2967 | 352 |
| 5 | 6651 | 352 |
| 0 | 8136 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
(log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
c |
(*.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 |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 c y) |
c |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
c |
#s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
c |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 y (expm1.f64 x)) |
(neg.f64 (expm1.f64 x)) |
(expm1.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
c |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
c |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 c y) |
c |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)) c) |
c |
#s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (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 y #s(literal 2 binary64) #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 y #s(literal 2 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
y |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) | |
| accuracy | 0.12890625 | (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) | |
| accuracy | 4.148393034020438 | (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| accuracy | 16.289871149688196 | #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 4.148393034020438 | (*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) | |
| accuracy | 4.468986766446003 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) | |
| accuracy | 7.034993377258651 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) | |
| accuracy | 24.781798239825324 | #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) | |
| accuracy | 0.0 | (*.f64 c y) | |
| accuracy | 2.7259667310363085 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) | |
| accuracy | 3.9136403335401235 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) | |
| accuracy | 25.337027640195398 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 4.148393034020438 | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| accuracy | 24.743896984779926 | #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.00390625 | (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.19140625 | (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 4.148393034020438 | (*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
| 88.0ms | 255× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
Compiled 341 to 49 computations (85.6% saved)
ival-mult: 29.0ms (42.3% of total)ival-add: 9.0ms (13.1% of total)ival-div: 7.0ms (10.2% of total)ival-pow: 7.0ms (10.2% of total)ival-log1p: 7.0ms (10.2% of total)const: 4.0ms (5.8% of total)ival-expm1: 3.0ms (4.4% of total)ival-neg: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
(log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (expm1.f64 x)) |
(*.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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
#s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(expm1.f64 x) |
(*.f64 c y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(* c (log (+ 1 (* -1 (* y (- 1 (exp x))))))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* x (* y (+ 1 (* x (+ 1/2 (* -1/2 y))))))) |
(* c (* y (+ 1 (* x (+ 1/2 (* -1/2 y)))))) |
(* 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))))))) |
(* 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 (+ 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))))))))))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/6 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1)) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
1 |
(+ 1 (* x (+ 1/2 (* -1/2 y)))) |
(* y (+ 1/2 (* -1/2 y))) |
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 x)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
y |
(+ y (* x (* y (+ 1/2 (* -1/2 y))))) |
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y)))))) |
(* -1 (* y (- 1 (exp x)))) |
(log (+ 1 (* -1 (* y (- 1 (exp x)))))) |
(- 1 (exp x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* c (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))) |
(* (pow x 2) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* c (* x (* y (+ 1/2 (* -1/2 y))))) |
(* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(* x (+ 1/2 (* -1/2 y))) |
(* x (+ 1/2 (+ (* -1/2 y) (/ 1 x)))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (/ y (pow x 2)) (/ (* y (+ 1/2 (* -1/2 y))) x)))) |
(* y (- (exp x) 1)) |
(/ 1 (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (/ y (pow x 2)) (/ (* y (+ 1/2 (* -1/2 y))) x)))) |
-1/2 |
(- (/ 1 x) 1/2) |
(* -1 (* x (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x))))) |
(* -1 (* x (- (* -1 (+ 1/2 (* -1/2 y))) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1 (* c (* y (- 1 (exp x))))) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* -1/2 (* c (* y (pow (- 1 (exp x)) 2)))))) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* y (+ (* -1/2 (* c (pow (- 1 (exp x)) 2))) (* -1/3 (* c (* y (pow (- 1 (exp x)) 3)))))))) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* y (+ (* -1/2 (* c (pow (- 1 (exp x)) 2))) (* y (+ (* -1/3 (* c (pow (- 1 (exp x)) 3))) (* -1/4 (* c (* y (pow (- 1 (exp x)) 4)))))))))) |
(* y (+ (* -1 (- 1 (exp x))) (* -1/2 (* y (pow (- 1 (exp x)) 2))))) |
(* y (+ (* -1 (- 1 (exp x))) (* y (+ (* -1/2 (pow (- 1 (exp x)) 2)) (* -1/3 (* y (pow (- 1 (exp x)) 3))))))) |
(* y (+ (* -1 (- 1 (exp x))) (* y (+ (* -1/2 (pow (- 1 (exp x)) 2)) (* y (+ (* -1/3 (pow (- 1 (exp x)) 3)) (* -1/4 (* y (pow (- 1 (exp x)) 4))))))))) |
(* 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 (* 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 (* 1/2 x)) |
(+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* x (* y (+ 1 (* 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))))))) |
(* c (+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y))))) |
(+ (* -1 (/ c (* y (- 1 (exp x))))) (* c (+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y)))))) |
(+ (* -1 (/ c (* y (- 1 (exp x))))) (+ (* -1/2 (/ c (* (pow y 2) (pow (- 1 (exp x)) 2)))) (* c (+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y))))))) |
(+ (* -1 (/ c (* y (- 1 (exp x))))) (+ (* -1/2 (/ c (* (pow y 2) (pow (- 1 (exp x)) 2)))) (+ (* -1/3 (/ c (* (pow y 3) (pow (- 1 (exp x)) 3)))) (* c (+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y)))))))) |
(+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y)))) |
(- (+ (log (* -1 (- 1 (exp x)))) (* -1 (log (/ 1 y)))) (/ 1 (* y (- 1 (exp x))))) |
(+ (log (* -1 (- 1 (exp x)))) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (- 1 (exp x)) 2)))) (/ 1 (- 1 (exp x)))) y)))) |
(- (+ (log (* -1 (- 1 (exp x)))) (+ (* -1 (log (/ 1 y))) (* -1 (/ (+ (* 1/3 (/ 1 (* y (pow (- 1 (exp x)) 3)))) (* 1/2 (/ 1 (pow (- 1 (exp x)) 2)))) (pow y 2))))) (/ 1 (* y (- 1 (exp x))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* -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 (* x y)) |
(* y (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 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 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))))) |
(* c (+ (log (- 1 (exp x))) (* -1 (log (/ -1 y))))) |
(+ (* -1 (/ c (* y (- 1 (exp x))))) (* c (+ (log (- 1 (exp x))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* 1/2 (/ c (* y (pow (- 1 (exp x)) 2)))) (/ c (- 1 (exp x)))) y)) (* c (+ (log (- 1 (exp x))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ c (pow (- 1 (exp x)) 2))) (* -1/3 (/ c (* y (pow (- 1 (exp x)) 3))))) y)) (/ c (- 1 (exp x)))) y)) (* c (+ (log (- 1 (exp x))) (* -1 (log (/ -1 y)))))) |
(+ (log (- 1 (exp x))) (* -1 (log (/ -1 y)))) |
(- (+ (log (- 1 (exp x))) (* -1 (log (/ -1 y)))) (/ 1 (* y (- 1 (exp x))))) |
(+ (log (- 1 (exp x))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (- 1 (exp x)) 2)))) (/ 1 (- 1 (exp x)))) y)))) |
(+ (log (- 1 (exp x))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (- 1 (exp x)) 3))) (+ (/ 1/2 (* y (pow (- 1 (exp x)) 2))) (/ 1 (- 1 (exp x))))) y)))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
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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)))) |
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(* -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))))) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | c | @ | 0 | ((/ (neg (- (exp x) 1)) (/ -1 y)) (* (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) c) (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) (neg (- (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (+ (* (+ (* -1/2 y) 1/2) x) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (* (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) c) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (/ y (pow (- (exp x) 1) -1)) (pow (- (exp x) 1) -1) (- (exp x) 1) (* c y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (/ (+ (* -1/2 x) 1) x)) |
| 32.0ms | x | @ | inf | ((/ (neg (- (exp x) 1)) (/ -1 y)) (* (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) c) (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) (neg (- (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (+ (* (+ (* -1/2 y) 1/2) x) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (* (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) c) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (/ y (pow (- (exp x) 1) -1)) (pow (- (exp x) 1) -1) (- (exp x) 1) (* c y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (/ (+ (* -1/2 x) 1) x)) |
| 31.0ms | x | @ | -inf | ((/ (neg (- (exp x) 1)) (/ -1 y)) (* (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) c) (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) (neg (- (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (+ (* (+ (* -1/2 y) 1/2) x) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (* (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) c) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (/ y (pow (- (exp x) 1) -1)) (pow (- (exp x) 1) -1) (- (exp x) 1) (* c y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (/ (+ (* -1/2 x) 1) x)) |
| 17.0ms | c | @ | -inf | ((/ (neg (- (exp x) 1)) (/ -1 y)) (* (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) c) (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) (neg (- (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (+ (* (+ (* -1/2 y) 1/2) x) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (* (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) c) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (/ y (pow (- (exp x) 1) -1)) (pow (- (exp x) 1) -1) (- (exp x) 1) (* c y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (/ (+ (* -1/2 x) 1) x)) |
| 15.0ms | c | @ | inf | ((/ (neg (- (exp x) 1)) (/ -1 y)) (* (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) c) (log (+ 1 (/ (neg (- (exp x) 1)) (/ -1 y)))) (neg (- (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (+ (* (+ (* -1/2 y) 1/2) x) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (* c (log (+ 1 (/ y (pow (- (exp x) 1) -1))))) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (* (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) c) (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (/ y (pow (- (exp x) 1) -1)) (pow (- (exp x) 1) -1) (- (exp x) 1) (* c y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (/ (+ (* -1/2 x) 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 3082 |
| 1 | 2176 | 2945 |
| 2 | 7586 | 2945 |
| 0 | 8698 | 2493 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* c (* x y)) |
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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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(* -1 x) |
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(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
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(/ 1 x) |
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x |
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y |
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(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -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)))) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* 1/2 x)))) |
(* -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 (/ (* (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))))) |
| Outputs |
|---|
(* c (log (+ 1 (* -1 (* y (- 1 (exp x))))))) |
(*.f64 (log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)))) c) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* x (* y (+ 1 (* x (+ 1/2 (* -1/2 y))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) x) |
(* c (* y (+ 1 (* x (+ 1/2 (* -1/2 y)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) |
(* c y) |
(*.f64 c y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (*.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) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 (*.f64 x (*.f64 #s(literal 1/6 binary64) c)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c)) 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 (*.f64 #s(literal 1/24 binary64) c) x) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) (*.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y) |
(* 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 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) x (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/6 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) x) |
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) c) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ 1/2 (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* y (+ 1/2 (* -1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 x)) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) 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) |
y |
(+ y (* x (* y (+ 1/2 (* -1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) |
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* y (+ 1/2 (* -1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(* -1 (* y (- 1 (exp x)))) |
(*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x))) |
(log (+ 1 (* -1 (* y (- 1 (exp x)))))) |
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)))) |
(- 1 (exp x)) |
(neg.f64 (expm1.f64 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* c (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x) c) |
(* (pow x 2) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(*.f64 (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x) x) |
(* c (* x (* y (+ 1/2 (* -1/2 y))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) |
(* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x))) |
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) x) |
(* x (+ 1/2 (* -1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (+ (* -1/2 y) (/ 1 x)))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.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) |
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) x) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) |
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (/ y (pow x 2)) (/ (* y (+ 1/2 (* -1/2 y))) x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (/.f64 y (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(/ 1 (- (exp x) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) x) x) |
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (/ y (pow x 2)) (/ (* y (+ 1/2 (* -1/2 y))) x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (/ 1 x) 1/2) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(* -1 (* x (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x))))) |
(*.f64 (neg.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (+ 1/2 (* -1/2 y))) (/ 1 x)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal -1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) y) x)) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal -1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) y) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal -1/6 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) y (/.f64 y (neg.f64 x))) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x)) x) x) |
(* -1 (* c (* y (- 1 (exp x))))) |
(*.f64 (*.f64 y (neg.f64 c)) (neg.f64 (expm1.f64 x))) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* -1/2 (* c (* y (pow (- 1 (exp x)) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) y) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 c) (neg.f64 (expm1.f64 x)))) y) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* y (+ (* -1/2 (* c (pow (- 1 (exp x)) 2))) (* -1/3 (* c (* y (pow (- 1 (exp x)) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) y) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (neg.f64 c) (neg.f64 (expm1.f64 x)))) y) |
(* y (+ (* -1 (* c (- 1 (exp x)))) (* y (+ (* -1/2 (* c (pow (- 1 (exp x)) 2))) (* y (+ (* -1/3 (* c (pow (- 1 (exp x)) 3))) (* -1/4 (* c (* y (pow (- 1 (exp x)) 4)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) y) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) y)) y (*.f64 (neg.f64 c) (neg.f64 (expm1.f64 x)))) y) |
(* y (+ (* -1 (- 1 (exp x))) (* -1/2 (* y (pow (- 1 (exp x)) 2))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y (neg.f64 (neg.f64 (expm1.f64 x)))) y) |
(* y (+ (* -1 (- 1 (exp x))) (* y (+ (* -1/2 (pow (- 1 (exp x)) 2)) (* -1/3 (* y (pow (- 1 (exp x)) 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (neg.f64 (neg.f64 (expm1.f64 x)))) y) |
(* y (+ (* -1 (- 1 (exp x))) (* y (+ (* -1/2 (pow (- 1 (exp x)) 2)) (* y (+ (* -1/3 (pow (- 1 (exp x)) 3)) (* -1/4 (* y (pow (- 1 (exp x)) 4))))))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) y)) y (neg.f64 (neg.f64 (expm1.f64 x)))) y) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
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(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 c y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (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))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (expm1.f64 x)))) |
(+ (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 (/.f64 #s(literal 1/2 binary64) (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 (fma.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)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) y)) |
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/2 x)) y)) (* 1/2 x)))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 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 (fma.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 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.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 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (neg.f64 y))))) |
(* -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 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x (*.f64 (neg.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) y))) (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 (*.f64 #s(literal -1/3 binary64) x) x (*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)))) (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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (/.f64 (fma.f64 (fma.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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 309 |
| 0 | 88 | 309 |
| 1 | 324 | 286 |
| 2 | 2588 | 286 |
| 0 | 8457 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
(log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (expm1.f64 x)) |
(*.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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
#s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) 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 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(expm1.f64 x) |
(*.f64 c y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (expm1.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x))) |
(*.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) (neg.f64 y))) |
(*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 y)) |
(*.f64 (expm1.f64 x) y) |
(pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64))) |
(/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (expm1.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (neg.f64 y)))) |
(neg.f64 (*.f64 (expm1.f64 x) (neg.f64 y))) |
(fma.f64 (exp.f64 x) y (neg.f64 y)) |
(fma.f64 y (exp.f64 x) (neg.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 (expm1.f64 x) (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 x) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 x) y) (neg.f64 y)) |
(+.f64 (*.f64 y (exp.f64 x)) (neg.f64 y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 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 (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 (+.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)) (-.f64 (*.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))) (log.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (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 -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (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 #s(literal 0 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (expm1.f64 x) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.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)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.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))))) |
(neg.f64 (expm1.f64 x)) |
(fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (expm1.f64 x)) |
(+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x)) c) |
(*.f64 c #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x))) |
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
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(/.f64 (neg.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (neg.f64 y)))) |
(/.f64 (neg.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 (fma.f64 #s(literal -1/2 binary64) y #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 (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #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 (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 3 binary64)) (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 20 603 to 2 748 computations (86.7% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 9 | 518 |
| Fresh | 3 | 15 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 514 | 31 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.4% | (*.f64 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
| 64.0% | (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))) c) | |
| 27.5% | (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) #s(approx (/ (+ (* -1/2 x) 1) x) #s(literal -1/2 binary64))))) c) | |
| 58.7% | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) | |
| 73.3% | (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) | |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 62.5% | (*.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) | |
| 64.0% | (*.f64 (log1p.f64 #s(approx (/ (neg (- (exp x) 1)) (/ -1 y)) (*.f64 y x))) c) | |
| 4.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c) | |
| ✓ | 55.5% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
| 42.3% | (*.f64 c (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) | |
| 20.9% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))))))) | |
| 40.7% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))))))) | |
| ✓ | 36.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 46.9% | (*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y x)))) | |
| 54.9% | (*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) | |
| 54.2% | (*.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) x #s(literal 1 binary64)) y)) x))) | |
| 53.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) | |
| 79.2% | #s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| ✓ | 63.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
| 54.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) | |
| 36.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c y)) x)) | |
| 57.2% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) | |
| 34.8% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) | |
| 58.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y)) x)) | |
| 42.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 y y))) x)) | |
| 53.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) | |
| 39.3% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) | |
| ✓ | 59.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ✓ | 64.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 2 364 to 1 057 computations (55.3% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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) c) y)) |
#s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
(*.f64 (log1p.f64 #s(approx (/ (neg (- (exp x) 1)) (/ -1 y)) (*.f64 y x))) 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 (pow (- (exp x) 1) -1) #s(approx (/ (+ (* -1/2 x) 1) x) #s(literal -1/2 binary64))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) 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 (log1p.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) y))) c) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 (expm1.f64 x)) (log.f64 y))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x))) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)))))))) |
(*.f64 (log1p.f64 (*.f64 y (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) c) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (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))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (expm1.f64 x))))))) |
(*.f64 c (log.f64 (fma.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(*.f64 c (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
9 calls:
| 48.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 20.0ms | x |
| 19.0ms | y |
| 17.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 17.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 1 | c |
| 93.4% | 1 | x |
| 99.8% | 3 | y |
| 93.4% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 93.4% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 93.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 93.4% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 93.4% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 93.4% | 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) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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) c) y)) |
#s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
(*.f64 (log1p.f64 #s(approx (/ (neg (- (exp x) 1)) (/ -1 y)) (*.f64 y x))) 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 (pow (- (exp x) 1) -1) #s(approx (/ (+ (* -1/2 x) 1) x) #s(literal -1/2 binary64))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
9 calls:
| 14.0ms | y |
| 12.0ms | c |
| 11.0ms | x |
| 11.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 11.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 2 | x |
| 84.1% | 2 | c |
| 82.1% | 2 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 82.3% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 82.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 86.3% | 4 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 83.9% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 83.9% | 2 | (pow.f64 (E.f64) x) |
| 92.6% | 3 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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) c) y)) |
#s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
(*.f64 (log1p.f64 #s(approx (/ (neg (- (exp x) 1)) (/ -1 y)) (*.f64 y x))) 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 (pow (- (exp x) 1) -1) #s(approx (/ (+ (* -1/2 x) 1) x) #s(literal -1/2 binary64))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 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) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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) c) y)) |
#s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
(*.f64 (log1p.f64 #s(approx (/ (neg (- (exp x) 1)) (/ -1 y)) (*.f64 y x))) 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 (pow (- (exp x) 1) -1) #s(approx (/ (+ (* -1/2 x) 1) x) #s(literal -1/2 binary64))))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) |
1 calls:
| 42.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 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) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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) c) y)) |
#s(approx (* (log (+ 1 (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
9 calls:
| 18.0ms | (pow.f64 (E.f64) x) |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | c |
| 8.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 79.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 79.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 79.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 79.2% | 1 | x |
| 79.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 79.2% | 1 | (pow.f64 (E.f64) x) |
| 79.2% | 1 | c |
| 79.2% | 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) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.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 #s(approx (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) 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) x #s(literal 1 binary64)) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) x) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (*.f64 c 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 c (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) (*.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 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) x) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* c (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y)) (*.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c #s(approx (* (+ (* x (+ (* -1/2 y) 1/2)) 1) y) (*.f64 (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (* (+ (* (+ (* -1/2 y) 1/2) x) 1) (* c y)) x) (*.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))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x) #s(literal 1/6 binary64))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* y 2) -3)) y)) (* (+ (* -1/2 y) 1/2) y)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (/ y (pow (- (exp x) 1) -1)))) (fma.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x) x (*.f64 y 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:
| 70.0ms | c |
| 30.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 10.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 8.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 64.4% | 1 | (pow.f64 (E.f64) x) |
| 64.4% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 64.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 64.4% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 67.3% | 2 | c |
| 64.4% | 1 | x |
| 64.4% | 1 | y |
| 64.4% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
Compiled 49 to 59 computations (-20.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
2 calls:
| 1.0ms | c |
| 1.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 64.4% | 1 | c |
Compiled 8 to 11 computations (-37.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 5.071349070161118e-81 | 1.2567310268753872e-77 |
| 24.0ms | -1.6857941924221872e-21 | -1.0964097342923597e-23 |
| 28.0ms | 125× | 1 | valid |
| 12.0ms | 99× | 0 | valid |
Compiled 365 to 338 computations (7.4% saved)
ival-pow: 16.0ms (49.5% of total)ival-e: 6.0ms (18.5% of total)ival-mult: 4.0ms (12.4% of total)adjust: 2.0ms (6.2% of total)ival-sub: 2.0ms (6.2% of total)ival-log1p: 2.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.0016485253726187263 | 33365.759398993425 |
| 27.0ms | -4.803930584996824 | -0.05893890064970744 |
| 63.0ms | 200× | 1 | valid |
| 5.0ms | 56× | 0 | valid |
| 3.0ms | 40× | 0 | invalid |
Compiled 672 to 563 computations (16.2% saved)
ival-pow: 34.0ms (59.1% of total)ival-e: 8.0ms (13.9% of total)ival-mult: 5.0ms (8.7% of total)adjust: 4.0ms (7% of total)ival-log1p: 4.0ms (7% of total)ival-sub: 3.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0016485253726187263 | 33365.759398993425 |
| 21.0ms | -4.803930584996824 | -0.05893890064970744 |
| 13.0ms | 57× | 1 | valid |
| 4.0ms | 23× | 0 | valid |
Compiled 609 to 528 computations (13.3% saved)
ival-pow: 5.0ms (35.7% of total)ival-mult: 4.0ms (28.5% of total)ival-e: 2.0ms (14.3% of total)adjust: 1.0ms (7.1% of total)ival-sub: 1.0ms (7.1% of total)ival-log1p: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0016485253726187263 | 33365.759398993425 |
| 28.0ms | -27582399.876399174 | -1676158.6967330407 |
| 19.0ms | 68× | 1 | valid |
| 4.0ms | 44× | 0 | valid |
Compiled 623 to 528 computations (15.2% saved)
ival-pow: 10.0ms (51.9% of total)ival-e: 3.0ms (15.6% of total)ival-log1p: 2.0ms (10.4% of total)ival-mult: 2.0ms (10.4% of total)adjust: 1.0ms (5.2% of total)ival-sub: 1.0ms (5.2% 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 | 6.259316596030028e-24 | 7.4284808876225415e-22 |
| 2.0ms | 8× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 51 to 46 computations (9.8% saved)
ival-pow: 1.0ms (45.6% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-e: 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 286 |
| 1 | 111 | 280 |
| 2 | 171 | 280 |
| 3 | 429 | 270 |
| 4 | 891 | 270 |
| 5 | 2068 | 270 |
| 6 | 4419 | 270 |
| 7 | 6112 | 270 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1595073594941899/1329227995784915872903807060280344576 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (<=.f64 y #s(literal -1700000 binary64)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(if (<=.f64 c #s(literal 6805647338418769/680564733841876926926749214863536422912 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 -1595073594941899/1329227995784915872903807060280344576 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (or (<=.f64 y #s(literal -1595073594941899/1329227995784915872903807060280344576 binary64)) (not (<=.f64 y #s(literal 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) (*.f64 (log1p.f64 (pow.f64 #s(approx (/ (/ -1 (- (exp x) 1)) (* 1 (neg y))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)) #s(literal -1 binary64))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (<=.f64 y #s(literal -1700000 binary64)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c))) |
(if (or (<=.f64 y #s(literal -1700000 binary64)) (not (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)))) (*.f64 (log1p.f64 #s(approx (/ 1 (/ (/ -1 (- (exp x) 1)) (* 1 (neg y)))) (*.f64 y x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(if (<=.f64 c #s(literal 6805647338418769/680564733841876926926749214863536422912 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 | 48 | 234 |
| 0 | 76 | 226 |
| 1 | 287 | 219 |
| 2 | 1977 | 219 |
| 0 | 8891 | 202 |
| 0 | 36 | 202 |
| 0 | 60 | 192 |
| 1 | 211 | 190 |
| 2 | 1528 | 190 |
| 0 | 8306 | 174 |
| 0 | 559 | 2355 |
| 1 | 1888 | 2229 |
| 2 | 6188 | 2159 |
| 0 | 8458 | 1729 |
| 0 | 597 | 2664 |
| 1 | 1995 | 2452 |
| 2 | 6736 | 2340 |
| 0 | 8608 | 1882 |
| 0 | 280 | 1255 |
| 1 | 1010 | 1079 |
| 2 | 3371 | 1053 |
| 0 | 8422 | 965 |
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 70 | 43 |
| 2 | 454 | 38 |
| 3 | 4965 | 38 |
| 0 | 8945 | 23 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 078 to 494 computations (54.2% saved)
(negabs c)
Compiled 694 to 248 computations (64.3% saved)
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