
Time bar (total: 12.2s)
| 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)
| 2.0s | 4 690× | 1 | valid |
| 434.0ms | 3 566× | 0 | valid |
| 333.0ms | 1 602× | 1 | exit |
| 289.0ms | 666× | 1 | invalid |
| 63.0ms | 666× | 0 | invalid |
ival-pow: 966.0ms (38.2% of total)ival-mult: 554.0ms (21.9% of total)ival-e: 476.0ms (18.8% of total)adjust: 210.0ms (8.3% of total)ival-log1p: 172.0ms (6.8% of total)ival-sub: 126.0ms (5% of total)ival-true: 10.0ms (0.4% of total)exact: 9.0ms (0.4% of total)ival-assert: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 181 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 156 | 54 | (-5.1326192737536e+63 -1.9375684617993772e-244 4.433918291345086e-231) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 21 | 0 | - | 1 | (-2.3219304242309175e+144 3.434696061093318e-75 1.7613469005659215e-242) | (*.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 | 210 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 45 | 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 - | |
|---|---|---|
| + | 169 | 0 |
| - | 67 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 169 | 0 | 0 |
| - | 67 | 0 | 20 |
| number | freq |
|---|---|
| 0 | 20 |
| 1 | 197 |
| 2 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 99.0ms | 350× | 1 | valid |
| 17.0ms | 162× | 0 | valid |
Compiled 169 to 48 computations (71.6% saved)
ival-pow: 35.0ms (39.3% of total)ival-e: 17.0ms (19.1% of total)ival-mult: 10.0ms (11.2% of total)adjust: 9.0ms (10.1% of total)ival-sub: 7.0ms (7.9% of total)ival-log1p: 7.0ms (7.9% of total)ival-add: 4.0ms (4.5% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 95 | 113 |
| 2 | 175 | 113 |
| 3 | 458 | 113 |
| 4 | 951 | 113 |
| 5 | 1526 | 113 |
| 6 | 2352 | 113 |
| 7 | 2728 | 113 |
| 8 | 2934 | 113 |
| 9 | 3003 | 113 |
| 10 | 3053 | 113 |
| 11 | 3080 | 113 |
| 12 | 3111 | 113 |
| 13 | 3116 | 113 |
| 14 | 3119 | 113 |
| 15 | 3121 | 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 | 403 | 12 |
| 10 | 485 | 12 |
| 11 | 500 | 12 |
| 12 | 504 | 12 |
| 0 | 504 | 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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(negabs c)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.7% | (*.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 | 64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (+.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 | 403 | 51 |
| 10 | 485 | 51 |
| 11 | 500 | 51 |
| 12 | 504 | 51 |
| 0 | 504 | 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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(log1p.f64 (*.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)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
#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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | |
| accuracy | 4.975133244217873 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| accuracy | 34.764607188558735 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | |
| accuracy | 41.89243647199314 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 58.0ms | 175× | 1 | valid |
| 8.0ms | 81× | 0 | valid |
Compiled 104 to 24 computations (76.9% saved)
ival-pow: 18.0ms (37.5% of total)ival-e: 12.0ms (25% of total)ival-mult: 5.0ms (10.4% of total)adjust: 4.0ms (8.3% of total)ival-log1p: 3.0ms (6.2% 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 |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log.f64 (+.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))))) |
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 (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))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(log (+ 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))))))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* 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 | |
|---|---|---|---|---|
| 64.0ms | c | @ | 0 | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1)) |
| 40.0ms | x | @ | -inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1)) |
| 16.0ms | x | @ | inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1)) |
| 14.0ms | c | @ | -inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1)) |
| 13.0ms | c | @ | inf | ((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 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 | 3368 | 1053 |
| 0 | 8389 | 965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
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 (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))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(log (+ 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))))))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* 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) |
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)) |
(* 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) |
(* 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 (*.f64 x x) (*.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)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) 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) |
(+ 1 (* y (- (pow (E) x) 1))) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(* 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) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ (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)))) |
(* 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))))) |
(* -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)) |
(+ (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)) |
(* 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 | 4960 | 38 |
| 0 | 8940 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(log.f64 (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (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)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))) |
(*.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))) (fma.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) (-.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (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)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #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 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 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))) |
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(pow.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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.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))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.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))) (+.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 (*.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))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) |
(/.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))) (-.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 (*.f64 (-.f64 #s(literal 1 binary64) (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 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) |
(/.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))) (+.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 (-.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))) (+.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 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.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 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.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 (-.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)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (*.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 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.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))) (*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.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 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.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 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (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) (/.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 1 binary64) (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (+.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)) #s(literal 1 binary64)) |
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(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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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 1 873 computations (79.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 12 | 368 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 12 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 35.2% | (*.f64 c (-.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))))))) | |
| 75.1% | (*.f64 c (-.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))))) | |
| 16.6% | (*.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)))) | |
| ▶ | 40.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 44.4% | (*.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))) | |
| 56.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| ▶ | 51.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
| 46.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| ▶ | 54.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
| ▶ | 64.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
Compiled 542 to 400 computations (26.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) | |
| cost-diff | 128 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 320 | (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))) | |
| cost-diff | 320 | (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)) | |
| cost-diff | 0 | (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| cost-diff | 128 | (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 | 42 | 363 |
| 0 | 73 | 363 |
| 1 | 147 | 360 |
| 2 | 382 | 360 |
| 3 | 1259 | 360 |
| 4 | 3539 | 360 |
| 5 | 4795 | 336 |
| 0 | 8404 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
c |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
(*.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) |
(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)) |
(*.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)))) |
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))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 c 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) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 (expm1.f64 x) y) |
y |
(expm1.f64 x) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
c |
y |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 (*.f64 c x) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c) |
c |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #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) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c)) |
(*.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) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c) |
(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)) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) c) |
(*.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)))) |
(*.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) c) |
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))) |
(*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 c 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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| accuracy | 4.975133244217873 | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| accuracy | 12.032864867458038 | #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 34.764607188558735 | (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 3.5245199032166536 | (*.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) | |
| accuracy | 5.26831914797169 | (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)) | |
| accuracy | 11.477148551317292 | (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))) | |
| accuracy | 23.547547963708112 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) | |
| accuracy | 1.950012582305968 | (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) | |
| accuracy | 3.4222430274222737 | (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) | |
| accuracy | 5.516129631800597 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) | |
| accuracy | 24.54952834408052 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| accuracy | 0 | (*.f64 c y) | |
| accuracy | 4.951026443076912 | (*.f64 (*.f64 c y) x) | |
| accuracy | 23.044399838166562 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) | |
| accuracy | 0 | (expm1.f64 x) | |
| accuracy | 0.00390625 | (*.f64 y (expm1.f64 x)) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 y (expm1.f64 x))) | |
| accuracy | 4.975133244217873 | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 128.0ms | 174× | 1 | valid |
| 29.0ms | 82× | 0 | valid |
Compiled 695 to 87 computations (87.5% saved)
ival-mult: 45.0ms (37.6% of total)ival-pow: 17.0ms (14.2% of total)adjust: 13.0ms (10.9% of total)ival-add: 13.0ms (10.9% of total)ival-e: 10.0ms (8.3% of total)ival-expm1: 6.0ms (5% of total)ival-log1p: 6.0ms (5% of total)ival-sub: 4.0ms (3.3% of total)const: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
(expm1.f64 x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c y) x) |
(*.f64 c y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
(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)) |
(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))) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
(*.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 (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) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))) |
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) |
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))) |
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x 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 (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2))))))) |
(* 1/2 (- y (pow y 2))) |
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- 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))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* c (* x (- y (pow y 2))))) |
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/6 (* c (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) |
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2))))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x)))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/6 (* c (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) |
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* c (- y (pow y 2))) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* c (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))) |
(* c (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* c (* x y))) (* c (+ 1 (* 1/2 x))))) |
(* y (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ c (+ (* c (* x (* y (- (* -1/2 x) 1/2)))) (* c (* x (+ 1/2 (* 1/6 x))))))) |
(* y (+ c (+ (* c (* x (+ 1/2 (* 1/6 x)))) (* y (+ (* 1/3 (* c (* (pow x 2) y))) (* c (* x (- (* -1/2 x) 1/2)))))))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* x (* y (+ c (* c (* x (+ 1/2 (* 1/6 x))))))) |
(* y (+ (* c (* (pow x 2) (* y (- (* -1/2 x) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))))) |
(* y (+ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (* y (+ (* 1/3 (* c (* (pow x 3) y))) (* c (* (pow x 2) (- (* -1/2 x) 1/2))))))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (* x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y))) |
(* 1/3 (* c (* (pow x 2) (pow y 3)))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 2))) (/ (* c (* x (- (* -1/2 x) 1/2))) y))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 2))) (+ (/ c (pow y 2)) (+ (/ (* c (* x (+ 1/2 (* 1/6 x)))) (pow y 2)) (/ (* c (* x (- (* -1/2 x) 1/2))) 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)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* 1/3 (* c (* (pow x 3) (pow y 3)))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y) (/ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (pow y 2))))) |
(* 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))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2)))) y)) (* c (* x (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 2)))))) |
(* -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)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 143.0ms | 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)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x)) |
| 134.0ms | 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)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x)) |
| 98.0ms | 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)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x)) |
| 33.0ms | 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)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x)) |
| 31.0ms | 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)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 784 | 3697 |
| 1 | 2767 | 3542 |
| 0 | 8589 | 3110 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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1 |
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(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2)))) y)) (* c (* x (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 2)))))) |
(* -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)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3)))))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 x y) c) |
(* c y) |
(*.f64 c y) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) |
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y) c) |
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))) |
(*.f64 (*.f64 c x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y)) |
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y))) |
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))) |
(*.f64 (*.f64 (neg.f64 x) c) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) x y))) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64)) x)) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64))) x)) x (*.f64 c y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) 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 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y 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 x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64)) x)) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64))) x)) x (*.f64 c y)) x) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c) |
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64)) x)) x (*.f64 c y)) |
(* 1/2 (- y (pow y 2))) |
(*.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))))) (* 1/2 (- y (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64))) |
(* x (* y (log (E)))) |
(*.f64 x y) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) 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 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)) x 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)) y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) y y) x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) c) #s(literal 1/6 binary64)) x)) x (*.f64 c y)) x) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 1/2 (* x (- y (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c) x) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x) x) |
(* 1/2 (* c (* x (- y (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c) |
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) x) |
(* 1/6 (* c (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) x) c) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) |
(*.f64 (fma.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) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 c x) (/.f64 y x) (fma.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) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x))) (*.f64 x 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) x) #s(literal 1/6 binary64)) |
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) 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) |
(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)) |
(* x (+ y (/ 1 x))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* 1/6 (* c (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) c)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)) |
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.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) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x))) |
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2))))) |
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(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
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(* 1/3 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64)) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) y) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) y) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y)) (/.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.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 (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* 1/3 (* c (* (pow x 3) (pow y 3)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) c) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y) (/ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) c) y))) (pow.f64 y #s(literal 3 binary64))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (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 #s(literal 1 binary64) (*.f64 (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 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (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)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 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) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) c (*.f64 (neg.f64 c) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y)))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 2)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (*.f64 (neg.f64 c) (*.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 (/ (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2)))) y)) (* c (* x (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 2)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (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))) |
(* -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))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (-.f64 (/.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))) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(+ (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 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (*.f64 (neg.f64 c) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (neg.f64 x) (/.f64 (*.f64 c (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 282 |
| 0 | 73 | 282 |
| 1 | 289 | 279 |
| 2 | 2294 | 279 |
| 0 | 8453 | 261 |
| 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) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) |
(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)) |
(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))) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
(*.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 (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) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))))) |
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(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))) |
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(fma.f64 (*.f64 x y) c (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 c y) x (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x)) |
(fma.f64 (*.f64 c y) x (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(fma.f64 c (*.f64 x y) (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x)) |
(fma.f64 c (*.f64 x y) (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 c y) x)) |
(fma.f64 x (*.f64 c y) (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x)) |
(fma.f64 x (*.f64 c y) (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(fma.f64 y (*.f64 c x) (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x)) |
(fma.f64 y (*.f64 c x) (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 c y) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 c y) x)) |
(+.f64 (*.f64 (*.f64 c y) x) (*.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x)) |
(+.f64 (*.f64 (*.f64 c y) x) (*.f64 x (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))))) |
Compiled 27 057 to 2 849 computations (89.5% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 22 | 531 |
| Fresh | 6 | 1 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 517 | 26 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) | |
| ▶ | 92.1% | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.2% | (*.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) | |
| 5.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| 56.3% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| ✓ | 40.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| ▶ | 78.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| 33.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y)))) | |
| 55.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) | |
| 60.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) | |
| ▶ | 59.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| ▶ | 54.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) |
| 52.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) | |
| 59.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) | |
| 58.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #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)) | |
| 28.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) | |
| ✓ | 64.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| 60.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) y)) x)) | |
| 60.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) | |
| 29.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (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)))) x)) | |
| 59.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) | |
| 57.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) | |
| 28.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.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) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))) | |
| ▶ | 49.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
Compiled 1 994 to 1 341 computations (32.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (*.f64 (expm1.f64 x) c) | |
| cost-diff | 0 | (*.f64 (*.f64 (expm1.f64 x) c) y) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| cost-diff | 0 | #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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)) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) | |
| cost-diff | 640 | (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)) | |
| cost-diff | 1024 | (*.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) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) | |
| cost-diff | 0 | (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) | |
| cost-diff | 0 | (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x 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 | (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 6912 | (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 458 |
| 0 | 94 | 467 |
| 1 | 171 | 461 |
| 2 | 346 | 452 |
| 3 | 1105 | 385 |
| 4 | 2304 | 373 |
| 5 | 4092 | 357 |
| 6 | 6959 | 357 |
| 0 | 8080 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
(expm1.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 x c) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) |
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) |
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) |
c |
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(fma.f64 (*.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) 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) |
y |
#s(literal 1/2 binary64) |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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 (*.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 (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) |
(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)) |
(*.f64 (*.f64 x x) c) |
(*.f64 x 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) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) |
(*.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) |
#s(literal 1 binary64) |
y |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
x |
c |
y |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (expm1.f64 x) y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(expm1.f64 x) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
(expm1.f64 (*.f64 x #s(literal 2 binary64))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 x c) y) |
(*.f64 (*.f64 c x) y) |
(*.f64 x c) |
(*.f64 c x) |
x |
c |
y |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) (*.f64 c x))) |
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) |
(*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) (*.f64 c x)) |
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) |
(*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) c) |
c |
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) |
(*.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) |
y |
#s(literal 1/2 binary64) |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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)) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y) |
(*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y) |
(*.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) |
(*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(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)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) (*.f64 c x)) |
(*.f64 (*.f64 x x) c) |
(*.f64 x 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) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) |
(*.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) |
#s(literal 1 binary64) |
y |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
x |
c |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (expm1.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (expm1.f64 x) c) | |
| accuracy | 3.8368781400573884 | (*.f64 (*.f64 (expm1.f64 x) c) y) | |
| accuracy | 11.332183815270618 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| accuracy | 6.277311276420745 | (*.f64 (*.f64 x x) c) | |
| accuracy | 6.497831437832681 | (*.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) | |
| accuracy | 10.37459700095814 | (*.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) | |
| accuracy | 24.54952834408052 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) | |
| accuracy | 1.950012582305968 | (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) | |
| accuracy | 3.4222430274222737 | (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) | |
| accuracy | 5.52232089156904 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) | |
| accuracy | 24.54952834408052 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) | |
| accuracy | 0 | (*.f64 x c) | |
| accuracy | 5.740616574760899 | (*.f64 (*.f64 x c) y) | |
| accuracy | 23.044399838166562 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) | |
| accuracy | 0.31852333441937997 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 4.975133244217873 | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
| 143.0ms | 152× | 1 | valid |
| 78.0ms | 104× | 0 | valid |
Compiled 829 to 117 computations (85.9% saved)
ival-mult: 48.0ms (29.7% of total)ival-add: 31.0ms (19.2% of total)ival-pow: 20.0ms (12.4% of total)ival-log1p: 14.0ms (8.7% of total)ival-expm1: 13.0ms (8% of total)adjust: 12.0ms (7.4% of total)ival-div: 8.0ms (4.9% of total)ival-e: 7.0ms (4.3% of total)ival-exp: 5.0ms (3.1% of total)ival-sub: 3.0ms (1.9% 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 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
#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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) |
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) |
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) |
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(*.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) |
(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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y) |
(*.f64 (*.f64 x x) c) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (- (exp x) 1)) |
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (pow x 2)) |
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(/ 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))))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(* c y) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (+ c (* x (* y (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(/ (* c x) y) |
(* x (+ (* x (+ (* -1/2 c) (* 1/2 (/ c 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 (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(* x (+ c (* 1/2 (* c x)))) |
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c))))) |
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(+ y (* x (* y (+ 1/2 (* -1/2 y))))) |
(* x (+ (* c y) (* x (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(/ (+ 1 (exp x)) (- (exp (* 2 x)) 1)) |
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x))) |
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* c (* x (- y (pow y 2))))) |
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (* y (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* y (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c x))) |
(* (pow x 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) |
(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y))))) |
(- (exp x) 1) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x))) |
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
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(/ (* c (* x (+ 1 (* 1/2 x)))) y) |
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y) |
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(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
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(* -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)))) |
(* -1/2 (* c (* (pow x 2) y))) |
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (pow x 2))) |
(+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (exp x))) (* y (- (exp (* 2 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -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 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
(* 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | c | @ | 0 | ((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c)) |
| 77.0ms | x | @ | -inf | ((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c)) |
| 74.0ms | y | @ | -inf | ((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c)) |
| 68.0ms | c | @ | inf | ((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c)) |
| 44.0ms | x | @ | inf | ((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 727 | 3788 |
| 1 | 2457 | 3530 |
| 0 | 8431 | 3094 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
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(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (- (exp x) 1)) |
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (pow x 2)) |
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(/ 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))))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(* c y) |
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (+ c (* x (* y (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(/ (* c x) y) |
(* x (+ (* x (+ (* -1/2 c) (* 1/2 (/ c 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 (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(* x (+ c (* 1/2 (* c x)))) |
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c))))) |
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(+ y (* x (* y (+ 1/2 (* -1/2 y))))) |
(* x (+ (* c y) (* x (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(/ (+ 1 (exp x)) (- (exp (* 2 x)) 1)) |
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x))) |
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* c (* x (- y (pow y 2))))) |
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* (pow x 2) (* y (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* y (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c x))) |
(* (pow x 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) |
(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y))))) |
(- (exp x) 1) |
(* x (* y (+ 1/2 (* -1/2 y)))) |
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x))) |
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))))) |
(* c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))) |
(* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4))) (* 1/3 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* 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)))) |
(* c (* x (+ 1 (* 1/2 x)))) |
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) |
(/ (* c (* x (+ 1 (* 1/2 x)))) y) |
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y) |
(* 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 (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))))) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 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 (* 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)))) |
(* -1/2 (* c (* (pow x 2) y))) |
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (pow x 2))) |
(+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (exp x))) (* y (- (exp (* 2 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (exp x)) 3)) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 2 x)) 1))) (/ (exp x) (* y (- (exp (* 2 x)) 1)))))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* 1/2 (/ (pow (+ 1 (exp x)) 2) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (exp x)) 2) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (exp x)) 3) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
(* 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)))))) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* c x) |
(*.f64 c x) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x) |
(* c (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) |
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) y) |
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(* c (- (exp x) 1)) |
(*.f64 (expm1.f64 x) c) |
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) y) y) c) |
(* c (pow x 2)) |
(*.f64 (*.f64 x x) c) |
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (neg.f64 y) c) (fma.f64 (neg.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)))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
(*.f64 (neg.f64 c) (fma.f64 (neg.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)))) |
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(*.f64 (neg.f64 c) (*.f64 (*.f64 (fma.f64 (neg.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))) y) y)) |
(/ 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 #s(literal -1/720 binary64) (*.f64 x x) #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) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x) c (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))) |
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(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (exp x)) 3)) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 c y)) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (fma.f64 (exp.f64 x) c c) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 y))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 2 x)) 1))) (/ (exp x) (* y (- (exp (* 2 x)) 1)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 x) y) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* 1/2 (/ (pow (+ 1 (exp x)) 2) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)))) |
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) y)) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (exp x)) 2) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (exp x)) 3) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)))) |
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(*.f64 (fma.f64 (neg.f64 c) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (*.f64 (*.f64 #s(literal -1/2 binary64) c) x)) (*.f64 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) |
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
(*.f64 (*.f64 (neg.f64 y) c) (fma.f64 (neg.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)))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 369 |
| 0 | 94 | 349 |
| 1 | 344 | 335 |
| 2 | 2529 | 320 |
| 0 | 9133 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
#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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)) |
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x) |
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) |
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)) |
(*.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) |
(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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y) |
(*.f64 (*.f64 x x) c) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (expm1.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 x))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (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) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (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))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.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))) (expm1.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (expm1.f64 x))) |
(*.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 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 x) #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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.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))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.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)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.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 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.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 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.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 (*.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 (*.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 y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.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 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.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) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.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) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.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 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) |
(fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) |
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (*.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) y) |
(+.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) 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 (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)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (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))) |
(*.f64 y (*.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)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 (-.f64 (*.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)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))) (*.f64 y y))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64))) (*.f64 y y)) (-.f64 (*.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))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))) (*.f64 y y)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 x x) c) |
(*.f64 (*.f64 c x) x) |
(*.f64 c (*.f64 x x)) |
(*.f64 x (*.f64 c x)) |
Compiled 21 875 to 3 156 computations (85.6% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 13 | 572 |
| Fresh | 5 | 13 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 567 | 31 | 598 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) | |
| 73.8% | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) | |
| ▶ | 67.3% | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| ▶ | 56.3% | (*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
| 5.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| ✓ | 40.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 59.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) | |
| ▶ | 78.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
| ✓ | 78.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| 56.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) | |
| 33.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y)))) | |
| 55.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) | |
| 60.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) | |
| ✓ | 59.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 52.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) | |
| 28.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) | |
| ✓ | 64.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| 60.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) y)) x)) | |
| 60.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) | |
| 29.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (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)))) x)) | |
| 57.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) | |
| 28.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.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) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))) | |
| ▶ | 49.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
| 26.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) | |
| ▶ | 45.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
| 26.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) | |
| 43.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) | |
| 26.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
Compiled 2 480 to 1 637 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) | |
| cost-diff | 320 | (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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) | |
| cost-diff | 0 | #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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)) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) | |
| cost-diff | 0 | #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)) | |
| cost-diff | 0 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) | |
| cost-diff | 0 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) | |
| cost-diff | 320 | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) | |
| cost-diff | 6848 | (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 14144 | (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 623 |
| 0 | 112 | 570 |
| 1 | 206 | 556 |
| 2 | 374 | 538 |
| 3 | 1257 | 473 |
| 4 | 3853 | 473 |
| 5 | 6999 | 473 |
| 0 | 8234 | 449 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
c |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
#s(literal -1 binary64) |
y |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)) |
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) |
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) |
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) |
(*.f64 (/.f64 c y) x) |
(/.f64 c y) |
c |
y |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) |
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) |
(*.f64 (*.f64 c x) x) |
(*.f64 c x) |
c |
x |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) |
(*.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) |
#s(literal 1 binary64) |
y |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
c |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 x) c) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(literal 1 binary64) |
(expm1.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 x) c) |
c |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
#s(literal -1 binary64) |
y |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y)) c) |
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) |
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y)))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y))) |
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) |
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y)) |
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) |
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) |
(*.f64 (/.f64 c y) x) |
(/.f64 c y) |
c |
y |
x |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 c 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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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)) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 c 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)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 (*.f64 (*.f64 (*.f64 c 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) |
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) |
(*.f64 (*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) |
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) |
(*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 c x) x) |
(*.f64 c x) |
c |
x |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) |
(*.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) |
#s(literal 1 binary64) |
y |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) |
(log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.31852333441937997 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 4.975133244217873 | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) | |
| accuracy | 18.28112096680257 | #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 5.24939717110145 | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) | |
| accuracy | 6.497831437832681 | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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) | |
| accuracy | 10.37459700095814 | (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) | |
| accuracy | 24.54952834408052 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) | |
| accuracy | 6.497831437832681 | (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) | |
| accuracy | 10.37459700095814 | (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) | |
| accuracy | 22.952802656284916 | #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) | |
| accuracy | 24.54952834408052 | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 4.975133244217873 | (*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) | |
| accuracy | 25.32341886401561 | #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) | |
| accuracy | 0.00390625 | (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.15625 | (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) | |
| accuracy | 3.8368781400573884 | (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y) | |
| accuracy | 11.332183815270618 | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
| 160.0ms | 152× | 1 | valid |
| 81.0ms | 104× | 0 | valid |
Compiled 1 099 to 148 computations (86.5% saved)
ival-mult: 83.0ms (43.1% of total)ival-div: 24.0ms (12.5% of total)ival-pow: 24.0ms (12.5% of total)adjust: 14.0ms (7.3% of total)ival-expm1: 12.0ms (6.2% of total)ival-log1p: 9.0ms (4.7% of total)ival-e: 8.0ms (4.2% of total)ival-add: 8.0ms (4.2% of total)ival-sub: 5.0ms (2.6% of total)ival-exp: 4.0ms (2.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)) |
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) |
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) |
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y) |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) |
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* c (- (exp x) 1)) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* c (* y (- (exp x) 1))) |
(/ (* c (* x (+ 1 (* 1/2 x)))) y) |
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
1 |
(* c x) |
(* x (+ c (* 1/2 (* c x)))) |
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c))))) |
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(* c (* x y)) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(* x (+ (* c y) (* x (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(* x (+ c (* x (* y (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
(/ (* c x) y) |
(* x (+ (* x (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c y))) |
(* x (+ y (* x (- y (* 1/2 y))))) |
(* x (+ y (* x (- (+ y (* x (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y))))) |
(* x (+ y (* x (- (+ y (* x (- (+ (* 2/3 y) (* x (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* x (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(/ 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 (+ (* 1/2 (/ (* c x) y)) (/ c y))) |
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x))) |
(* (pow x 2) (* y (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* y (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c x))) |
(* (pow x 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) |
(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y))))) |
(/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))) |
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x))) |
(/ 1 (- (exp x) 1)) |
(* 1/2 (/ (* c (pow x 2)) y)) |
(* (pow x 2) (+ (* 1/2 (/ c y)) (/ c (* x y)))) |
(/ (+ 1 (exp x)) (- (exp (* 2 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 (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))) |
(* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4))) (* 1/3 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* c (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))) |
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(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 79.0ms | c | @ | inf | ((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) |
| 50.0ms | c | @ | -inf | ((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) |
| 46.0ms | c | @ | 0 | ((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) |
| 39.0ms | x | @ | -inf | ((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) |
| 38.0ms | x | @ | inf | ((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 694 | 3530 |
| 1 | 2317 | 3323 |
| 2 | 7909 | 3319 |
| 0 | 8220 | 2848 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
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(/ (* c (* x (+ 1 (* 1/2 x)))) y) |
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(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
1 |
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(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(* 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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(* x y) |
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(* c (* x (* y (log (E))))) |
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(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))) |
(* x (+ (* c y) (* x (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))))) |
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(/ (* c x) y) |
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(* x (+ y (* x (- y (* 1/2 y))))) |
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(* x (+ y (* x (- (+ y (* x (- (+ (* 2/3 y) (* x (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y))))) |
x |
(* x (+ 1 (* 1/2 x))) |
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(* x (+ (* 1/2 (* c (* x y))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))) |
(/ 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 (+ (* 1/2 (/ (* c x) y)) (/ c y))) |
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))) |
(* 1/2 (* c (* (pow x 2) (- y (pow y 2))))) |
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x))) |
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x))) |
(* (pow x 2) (* y (+ (* -1/2 c) (* 1/2 (/ c y))))) |
(* (pow x 2) (+ (* y (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c x))) |
(* (pow x 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) |
(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y))))) |
(/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))) |
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x))) |
(/ 1 (- (exp x) 1)) |
(* 1/2 (/ (* c (pow x 2)) y)) |
(* (pow x 2) (+ (* 1/2 (/ c y)) (/ c (* x y)))) |
(/ (+ 1 (exp x)) (- (exp (* 2 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 (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))) |
(* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4))) (* 1/3 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x))))) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* c (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))) |
(* c (* x (+ 1 (* 1/2 x)))) |
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) |
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))))) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 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 (* 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 (* (pow x 2) y))) |
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(* -1/2 (* c (pow x 2))) |
(+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 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)))))) |
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (exp x))) (* y (- (exp (* 2 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (exp x)) 3)) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 2 x)) 1))) (/ (exp x) (* y (- (exp (* 2 x)) 1)))))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* 1/2 (/ (pow (+ 1 (exp x)) 2) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (exp x)) 2) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (exp x)) 3) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
| Outputs |
|---|
(* c (- (exp x) 1)) |
(*.f64 (expm1.f64 x) c) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) c) |
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) |
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) y) |
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(/ (* c (* x (+ 1 (* 1/2 x)))) y) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y) c) |
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(*.f64 (neg.f64 c) (*.f64 (fma.f64 (neg.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 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (neg.f64 c) y) (fma.f64 (neg.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)))) |
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))) |
(*.f64 (neg.f64 c) (fma.f64 (neg.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)))) |
1 |
#s(literal 1 binary64) |
(* c x) |
(*.f64 c x) |
(* x (+ c (* 1/2 (* c x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) |
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 c x) (*.f64 #s(literal 1/2 binary64) c)) x c) x) |
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 c x) (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) c) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) c) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) c)) x (*.f64 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 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) c (*.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) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x)) c (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64))) x)) x (*.f64 y c)) x) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) c (*.f64 y c)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) c) (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 #s(literal 1/2 binary64) y)) y (fma.f64 (fma.f64 y #s(literal 5/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) c)) x (*.f64 y c)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) c (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) (*.f64 (fma.f64 (*.f64 #s(literal -24 binary64) (fma.f64 y #s(literal 5/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)))) y (fma.f64 #s(literal 24 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) y (-.f64 (*.f64 #s(literal 1/4 binary64) y) (fma.f64 (fma.f64 y #s(literal 5/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) #s(literal -12 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64))))) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 #s(literal 1/2 binary64) y)) y (fma.f64 (fma.f64 y #s(literal 5/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) c) #s(literal 1/6 binary64))) x)) x (*.f64 y c)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y) x) |
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(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) |
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) c) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) 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) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) 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) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 c (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 y)) c) |
(+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 y)) c (/.f64 (/.f64 c y) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(fma.f64 (/.f64 (/.f64 (/.f64 c y) y) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 y)) c (/.f64 (/.f64 c y) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 c (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (/.f64 c y) y) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 y)) c (/.f64 (/.f64 c y) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 y)) |
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (log.f64 y)) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (log.f64 y)) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))))) |
(-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 y)) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) 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 (expm1.f64 x))) 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) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) 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) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 c y) y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (/.f64 c (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 x))) c (/.f64 c (*.f64 (expm1.f64 x) y))))) |
(* -1/2 (* c (* (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) 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 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) |
(* -1/2 (* c (* (pow x 2) y))) |
(*.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64)) |
(* y (+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) y) |
(* -1/2 (* c (pow x 2))) |
(*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* c (pow x 2))) (/ (* c (* x (+ 1 (* 1/2 x)))) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) c) |
(* 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 (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))) |
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (exp x))) (* y (- (exp (* 2 x)) 1)))) |
(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (/.f64 (fma.f64 (exp.f64 x) c c) y) (expm1.f64 (+.f64 x x)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) y) (/.f64 (neg.f64 (fma.f64 (exp.f64 x) c c)) (expm1.f64 (+.f64 x x)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (exp x)) 3)) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 c y)) (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (fma.f64 (exp.f64 x) c c) (expm1.f64 (+.f64 x x)))) (neg.f64 y))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 2 x)) 1))) (/ (exp x) (* y (- (exp (* 2 x)) 1)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 x) y) (expm1.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (+.f64 x x)))) (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* 1/2 (/ (pow (+ 1 (exp x)) 2) (* y (pow (- (exp (* 2 x)) 1) 2))))) y)))) |
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x)))) y)) |
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (exp x)) 2) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (exp x)) 3) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)))) |
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x 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 #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 (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))) |
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2))))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) y) (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2)))))) |
(*.f64 (*.f64 (neg.f64 c) y) (fma.f64 (neg.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 556 |
| 0 | 112 | 458 |
| 1 | 440 | 436 |
| 2 | 2828 | 436 |
| 0 | 8365 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)) |
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y) |
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) |
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y) |
(pow.f64 (expm1.f64 x) #s(literal -1 binary64)) |
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) |
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 c (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 c #s(literal 1 binary64)) (expm1.f64 x)) |
(*.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 c (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 c (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 c) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) c)) |
(*.f64 (*.f64 (expm1.f64 x) c) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 x) c) |
(*.f64 c (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)))) |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 c (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 c #s(literal 1 binary64)) (expm1.f64 x)) |
(*.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 c (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 c (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 c) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) c)) |
(*.f64 (*.f64 (expm1.f64 x) c) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 x) c) |
(*.f64 c (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)))) |
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
Compiled 20 151 to 2 374 computations (88.2% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 7 | 439 |
| Fresh | 6 | 15 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 441 | 29 | 470 |
| Status | Accuracy | Program |
|---|---|---|
| 67.3% | (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) c) | |
| 73.8% | (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) | |
| ✓ | 92.2% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) | |
| ✓ | 56.3% | (*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
| 5.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) | |
| ✓ | 40.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 29.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 79.8% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) | |
| 59.6% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) | |
| ✓ | 78.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| 78.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) #s(literal 1 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) | |
| 56.9% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) | |
| 55.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) | |
| 60.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) | |
| ✓ | 59.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
| 52.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) | |
| 28.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) | |
| ✓ | 64.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| 60.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) y)) x)) | |
| 60.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) | |
| 28.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.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) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))) | |
| 56.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) | |
| 26.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) | |
| 50.0% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) | |
| ✓ | 45.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
| 26.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) | |
| 43.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) | |
| 26.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
Compiled 3 129 to 1 176 computations (62.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 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 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.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) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (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)))) x)) |
(*.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 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) #s(literal 1 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.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 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.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 (-.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 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c) |
(*.f64 c (-.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))))))) |
| 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:
| 23.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 22.0ms | c |
| 14.0ms | x |
| 14.0ms | y |
| 14.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | c |
| 92.2% | 1 | x |
| 99.7% | 3 | y |
| 92.2% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 92.2% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 92.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 92.2% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 92.2% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 92.2% | 1 | (pow.f64 (E.f64) x) |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 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 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.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) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (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)))) x)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 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 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
9 calls:
| 30.0ms | x |
| 26.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 14.0ms | c |
| 11.0ms | y |
| 9.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 2 | x |
| 79.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 81.5% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 81.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 87.1% | 4 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 85.5% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 85.5% | 2 | (pow.f64 (E.f64) x) |
| 84.6% | 2 | c |
| 94.6% | 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) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 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 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #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 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 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) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 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 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
| Outputs |
|---|
(*.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) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
1 calls:
| 40.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 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) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
| Outputs |
|---|
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
6 calls:
| 11.0ms | x |
| 11.0ms | y |
| 11.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 10.0ms | c |
| 8.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 80.1% | 2 | c |
| 80.4% | 2 | x |
| 80.2% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 80.2% | 2 | (pow.f64 (E.f64) x) |
| 84.8% | 3 | y |
Compiled 18 to 29 computations (-61.1% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)) |
| Outputs |
|---|
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
4 calls:
| 13.0ms | y |
| 10.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 7.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 7.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 78.0% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 78.0% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 82.1% | 3 | y |
Compiled 32 to 33 computations (-3.1% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))) c) 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))) |
9 calls:
| 12.0ms | x |
| 12.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 11.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 10.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 64.3% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 64.3% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 64.3% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 66.5% | 2 | c |
| 64.3% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 64.3% | 1 | (pow.f64 (E.f64) x) |
| 64.3% | 1 | x |
| 64.3% | 1 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.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)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #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))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) 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))) |
| 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)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 2 | c |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
3 calls:
| 1.0ms | c |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | y |
| 64.3% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 64.3% | 1 | c |
Compiled 9 to 14 computations (-55.6% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.869204194528151e-84 | 4.765726858146534e-74 |
| 4.0ms | -1.2129606031829259e-21 | -4.080898574203035e-27 |
| 16.0ms | 55× | 1 | valid |
| 3.0ms | 41× | 0 | valid |
Compiled 165 to 154 computations (6.7% saved)
ival-pow: 5.0ms (39.8% of total)ival-e: 2.0ms (15.9% of total)ival-mult: 2.0ms (15.9% of total)adjust: 1.0ms (8% of total)ival-sub: 1.0ms (8% of total)ival-log1p: 1.0ms (8% 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 |
|---|---|---|
| 45.0ms | 0.25720733396117923 | 3428450766.3090944 |
| 27.0ms | -7.814999709727187 | -0.0630650218575627 |
| 46.0ms | 202× | 1 | valid |
| 9.0ms | 70× | 0 | valid |
| 3.0ms | 35× | 0 | invalid |
Compiled 656 to 568 computations (13.4% saved)
ival-pow: 22.0ms (46.8% of total)ival-e: 8.0ms (17% of total)ival-mult: 6.0ms (12.8% of total)adjust: 4.0ms (8.5% of total)ival-log1p: 4.0ms (8.5% of total)ival-sub: 3.0ms (6.4% 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 | 0.25720733396117923 | 3428450766.3090944 |
| 18.0ms | -7.814999709727187 | -0.0630650218575627 |
| 13.0ms | 57× | 1 | valid |
| 2.0ms | 23× | 0 | valid |
Compiled 635 to 554 computations (12.8% saved)
ival-pow: 5.0ms (42.7% of total)ival-e: 2.0ms (17.1% of total)ival-mult: 2.0ms (17.1% of total)adjust: 1.0ms (8.5% of total)ival-sub: 1.0ms (8.5% of total)ival-log1p: 1.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.25720733396117923 | 3428450766.3090944 |
| 1.0ms | -7.814999709727187 | -0.0630650218575627 |
Compiled 593 to 526 computations (11.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 111.0ms | 4.591761285516689e+142 | 3.6135952888479566e+168 |
| 41.0ms | -1.5459584802094045e+98 | -5.317147532019158e+91 |
| 72.0ms | 269× | 1 | valid |
| 16.0ms | 51× | 1 | invalid |
| 9.0ms | 99× | 0 | invalid |
| 5.0ms | 51× | 0 | valid |
Compiled 715 to 616 computations (13.8% saved)
ival-pow: 39.0ms (46.7% of total)ival-e: 16.0ms (19.2% of total)ival-mult: 10.0ms (12% of total)ival-log1p: 7.0ms (8.4% of total)adjust: 6.0ms (7.2% of total)ival-sub: 4.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 70.0ms | 7.16188906057464e+43 | 3.634395882935317e+48 |
| 35.0ms | -5.052183725099911e+101 | -1.5459584802094045e+98 |
| 85.0ms | 149× | 1 | valid |
| 6.0ms | 43× | 0 | valid |
| 3.0ms | 12× | 1 | invalid |
| 2.0ms | 29× | 0 | invalid |
Compiled 423 to 364 computations (13.9% saved)
ival-e: 56.0ms (64% of total)ival-pow: 16.0ms (18.3% of total)ival-log1p: 5.0ms (5.7% of total)ival-mult: 4.0ms (4.6% of total)adjust: 3.0ms (3.4% of total)ival-sub: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 65.0ms | 8.89814184465011e+144 | 1.1939133023106923e+150 |
| 53.0ms | 100× | 1 | valid |
| 4.0ms | 44× | 0 | valid |
Compiled 825 to 574 computations (30.4% saved)
ival-pow: 10.0ms (44.9% of total)ival-e: 4.0ms (17.9% of total)ival-mult: 3.0ms (13.5% of total)adjust: 2.0ms (9% of total)ival-log1p: 2.0ms (9% of total)ival-sub: 1.0ms (4.5% 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 |
|---|---|---|
| 18.0ms | 4.878819119105398e+58 | 7.443497051937778e+58 |
| 14.0ms | 45× | 1 | valid |
| 2.0ms | 19× | 0 | valid |
Compiled 159 to 136 computations (14.5% saved)
ival-e: 5.0ms (37.5% of total)ival-pow: 4.0ms (30% of total)ival-sub: 1.0ms (7.5% of total)adjust: 1.0ms (7.5% of total)ival-mult: 1.0ms (7.5% of total)ival-log1p: 1.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 499 |
| 1 | 154 | 499 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 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 -4278419646001971/4503599627370496 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 650000000000000026732541590770755296822708183107577429312075915217285436348848511404349944606867884674747427031562586272986969445768640811959212455871295637268987904 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))))) |
(if (<=.f64 y #s(literal -489999999999999979138050483452856046887616493986414915123784174310586161372115628331021822530158592 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) (if (<=.f64 y #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))))) |
(if (<=.f64 c #s(literal 181999999999999996350243318677158453760434963453454510740414036232510558561518949940372068394153493291614548832957614095794669682884725838064910336 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))) |
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 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 -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 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 -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))))) |
(if (<=.f64 y #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) y)) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 650000000000000026732541590770755296822708183107577429312075915217285436348848511404349944606867884674747427031562586272986969445768640811959212455871295637268987904 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))))) |
(if (<=.f64 y #s(literal -145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) c) (if (<=.f64 y #s(literal 650000000000000026732541590770755296822708183107577429312075915217285436348848511404349944606867884674747427031562586272986969445768640811959212455871295637268987904 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) c))) |
(if (<=.f64 y #s(literal -489999999999999979138050483452856046887616493986414915123784174310586161372115628331021822530158592 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) (if (<=.f64 y #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))))) |
(if (<=.f64 y #s(literal -489999999999999979138050483452856046887616493986414915123784174310586161372115628331021822530158592 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c) (if (<=.f64 y #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c))) |
(if (<=.f64 c #s(literal 181999999999999996350243318677158453760434963453454510740414036232510558561518949940372068394153493291614548832957614095794669682884725838064910336 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))) |
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))) |
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 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 c x) 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 | 784 | 3697 |
| 1 | 2767 | 3542 |
| 0 | 8589 | 3110 |
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 70 | 43 |
| 2 | 454 | 38 |
| 3 | 4960 | 38 |
| 0 | 8940 | 23 |
| 0 | 42 | 282 |
| 0 | 73 | 282 |
| 1 | 289 | 279 |
| 2 | 2294 | 279 |
| 0 | 8453 | 261 |
| 0 | 280 | 1255 |
| 1 | 1010 | 1079 |
| 2 | 3368 | 1053 |
| 0 | 8389 | 965 |
| 0 | 727 | 3788 |
| 1 | 2457 | 3530 |
| 0 | 8431 | 3094 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 299 to 553 computations (57.4% saved)
(negabs c)
Compiled 1 116 to 342 computations (69.4% saved)
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