Logarithmic Transform
Time bar (total: 10.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 7 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 8 |
| 39.3% | 34.3% | 53% | 0.1% | 0% | 12.5% | 0% | 9 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 10 |
| 52.7% | 45.2% | 40.6% | 0.1% | 0% | 14% | 0% | 11 |
| 56% | 47.6% | 37.4% | 0.1% | 0% | 14.8% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.6s | 4 612× | 1 | valid |
| 745.0ms | 653× | 1 | invalid |
| 333.0ms | 3 644× | 0 | valid |
| 256.0ms | 1 560× | 1 | exit |
| 92.0ms | 641× | 0 | invalid |
ival-pow: 761.0ms (36.8% of total)ival-e: 468.0ms (22.6% of total)ival-mult: 233.0ms (11.3% of total)ival-sub: 212.0ms (10.3% of total)adjust: 211.0ms (10.2% of total)ival-log1p: 158.0ms (7.6% of total)ival-true: 10.0ms (0.5% of total)exact: 8.0ms (0.4% of total)ival-assert: 5.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 179 | 1 | (-3.884200538989053e-289 -0.008777839486019106 -3.4497411032851487e+167) | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 154 | 44 | (-2.9004952440450504e-80 1.7587000171110844e-250 9.782729309103681e-168) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 18 | 0 | - | 3 | (-4.456767693985176e+218 1.0688388702025731e-32 -3.523954059110156e-291) | (*.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 | 198 | 0 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 46 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 15 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 169 | 0 |
| - | 66 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 169 | 0 | 0 |
| - | 66 | 0 | 21 |
| number | freq |
|---|---|
| 0 | 21 |
| 1 | 211 |
| 2 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 110.0ms | 350× | 1 | valid |
| 16.0ms | 162× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 37.0ms (39.6% of total)ival-e: 18.0ms (19.2% of total)ival-mult: 13.0ms (13.9% of total)adjust: 8.0ms (8.6% of total)ival-log1p: 7.0ms (7.5% of total)ival-sub: 5.0ms (5.3% of total)ival-add: 4.0ms (4.3% 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 | 93 | 113 |
| 2 | 145 | 113 |
| 3 | 233 | 113 |
| 4 | 291 | 113 |
| 5 | 409 | 113 |
| 6 | 1312 | 113 |
| 7 | 4852 | 113 |
| 8 | 7215 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 38 | 12 |
| 3 | 58 | 12 |
| 4 | 88 | 12 |
| 5 | 183 | 12 |
| 6 | 1077 | 12 |
| 7 | 4612 | 12 |
| 8 | 6926 | 12 |
| 0 | 8436 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(negabs c)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.3% | (*.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)
| 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 |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
c |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
x |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* 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 (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
y |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 66.0ms | c | @ | 0 | ((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) c (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) 1 (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x) (E) x y) |
| 35.0ms | x | @ | -inf | ((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) c (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) 1 (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x) (E) x y) |
| 16.0ms | x | @ | inf | ((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) c (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) 1 (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x) (E) x y) |
| 12.0ms | c | @ | -inf | ((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) c (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) 1 (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x) (E) x y) |
| 12.0ms | c | @ | inf | ((* c (log (+ 1 (* (- (pow (E) x) 1) y)))) c (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) 1 (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x) (E) x y) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1290 |
| 1 | 1139 | 1113 |
| 2 | 4652 | 1083 |
| 0 | 8131 | 1009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
c |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
x |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* 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 (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
y |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
| 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) |
c |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 y c) x) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (-.f64 y (*.f64 y y)) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) x)) x (*.f64 y c)) x) |
(* x (* y (log (E)))) |
(*.f64 y x) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x)) x y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x) |
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
(* x (log (E))) |
x |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(+ 1 (* x (log (E)))) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(+ 1 (* y (- (pow (E) x) 1))) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (pow (E) x) 1)) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(- (pow (E) x) 1) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow (E) x) |
(pow.f64 (E.f64) x) |
(* 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 #s(literal -1/2 binary64) c) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.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)) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(* 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) |
y |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(*.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 c y) (fma.f64 (/.f64 c (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 0 | 18 | 51 |
| 1 | 72 | 51 |
| 2 | 472 | 45 |
| 3 | 4700 | 45 |
| 0 | 8215 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
c |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
x |
y |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 c #s(literal 2 binary64))) (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(*.f64 (+.f64 (/.f64 c #s(literal 2 binary64)) (/.f64 c #s(literal 2 binary64))) (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(*.f64 (/.f64 c #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 2 binary64)) (log1p.f64 (*.f64 y (expm1.f64 x))))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) (log.f64 (exp.f64 c))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c (log.f64 (exp.f64 (log1p.f64 (*.f64 y (expm1.f64 x)))))) |
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(fma.f64 (/.f64 c #s(literal 2 binary64)) (log1p.f64 (*.f64 y (expm1.f64 x))) (*.f64 (/.f64 c #s(literal 2 binary64)) (log1p.f64 (*.f64 y (expm1.f64 x))))) |
(+.f64 (log.f64 (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fabs.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 c #s(literal 2 binary64)) (log1p.f64 (*.f64 y (expm1.f64 x)))) (*.f64 (/.f64 c #s(literal 2 binary64)) (log1p.f64 (*.f64 y (expm1.f64 x))))) |
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) c)) |
c |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)))) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (expm1.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) #s(literal 0 binary64)) |
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) |
(+.f64 (log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))) |
(+.f64 (log.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))))) |
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x))) (log.f64 (fabs.f64 (pow.f64 (cbrt.f64 (E.f64)) x)))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 5/3 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x))) |
(+.f64 (log.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x))) (log.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) (log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (sqrt.f64 (exp.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) (log.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) |
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (exp.f64 x))))) |
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) |
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
(log.f64 (exp.f64 x)) |
x |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) y) |
y |
Compiled 10 769 to 2 863 computations (73.4% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 15 | 463 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 449 | 15 | 464 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 80.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) | |
| 52.2% | (*.f64 c (log.f64 (fma.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))) | |
| 28.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| 39.0% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) | |
| ▶ | 39.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
| 39.7% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))) | |
| ▶ | 42.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 28.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| ▶ | 42.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
| 52.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 49.4% | #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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) | |
| 44.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| ▶ | 59.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| 53.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) |
Compiled 660 to 498 computations (24.5% saved)
| 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 y c) x)) |
(*.f64 (*.f64 y c) x) |
(*.f64 y c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
#s(literal -1/2 binary64) |
(*.f64 c (log.f64 #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)) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 1/6 x) |
1 |
(+ 1 (* x (* y (log (E))))) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(+ y (* 1/2 (* x y))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y x))) |
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x)))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y x))) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 y)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* y (+ 1 (* -3 y))) |
(* y (+ 1 (* y (- (* 2 y) 3)))) |
(pow y 2) |
-3 |
(- (* 2 y) 3) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* -1 y) |
(* y (- y 1)) |
(+ 1 (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* 1/3 (* x (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)))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(* 2 y) |
(* y (- 2 (* 3 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* x (+ 1 (* 1/2 x))) (/ 1 y))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(* -1 (* y (- (* 3 (/ 1 y)) 2))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* x (* y (- (* -1/2 x) 1)))) |
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 88.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) y (- (exp x) 1) x c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* 1/6 x) 1/6 (+ (* (* y y) (+ (* 2 y) -3)) y) (* y y) (+ (* 2 y) -3) 2 -3 (* (+ (* y y) (neg y)) -1/2) (+ (* y y) (neg y)) (neg y) -1/2 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) 1 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x)) |
| 59.0ms | y | @ | 0 | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) y (- (exp x) 1) x c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* 1/6 x) 1/6 (+ (* (* y y) (+ (* 2 y) -3)) y) (* y y) (+ (* 2 y) -3) 2 -3 (* (+ (* y y) (neg y)) -1/2) (+ (* y y) (neg y)) (neg y) -1/2 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) 1 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x)) |
| 52.0ms | c | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) y (- (exp x) 1) x c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* 1/6 x) 1/6 (+ (* (* y y) (+ (* 2 y) -3)) y) (* y y) (+ (* 2 y) -3) 2 -3 (* (+ (* y y) (neg y)) -1/2) (+ (* y y) (neg y)) (neg y) -1/2 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) 1 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x)) |
| 46.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) y (- (exp x) 1) x c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* 1/6 x) 1/6 (+ (* (* y y) (+ (* 2 y) -3)) y) (* y y) (+ (* 2 y) -3) 2 -3 (* (+ (* y y) (neg y)) -1/2) (+ (* y y) (neg y)) (neg y) -1/2 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) 1 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x)) |
| 31.0ms | x | @ | inf | ((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) y (- (exp x) 1) x c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* y c) x) (* y c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* 1/6 x) 1/6 (+ (* (* y y) (+ (* 2 y) -3)) y) (* y y) (+ (* 2 y) -3) 2 -3 (* (+ (* y y) (neg y)) -1/2) (+ (* y y) (neg y)) (neg y) -1/2 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) 1 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 727 | 3366 |
| 1 | 2732 | 3232 |
| 0 | 8657 | 2885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
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(* x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* x (+ y (* 1/2 (* x y)))) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
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(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* 1/6 x) |
1 |
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(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(+ 1 (* x y)) |
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(+ y (* 1/2 (* x y))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
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(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* y (+ 1/2 (* 1/6 x))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2))))) |
(* y (+ 1 (* -3 y))) |
(* y (+ 1 (* y (- (* 2 y) 3)))) |
(pow y 2) |
-3 |
(- (* 2 y) 3) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(* -1 y) |
(* y (- y 1)) |
(+ 1 (* x (* y (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* 1/3 (* x (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)))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(* 2 y) |
(* y (- 2 (* 3 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ x (/ 1 y))) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* x (+ 1 (* 1/2 x))) (/ 1 y))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(* -1 (* y (- (* 3 (/ 1 y)) 2))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* x (* y (- (* -1/2 x) 1)))) |
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) 1))) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 x y) c) |
(* c y) |
(*.f64 c y) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) x) (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 x y) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) x) (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x (*.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64))) x (*.f64 c y)) x) |
(* x (* y (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 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) x) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y) |
(* -1/2 (- (pow y 2) y)) |
(*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64)) |
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) 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)) y) x y) x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* 1/2 (* x y))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x #s(literal 1 binary64)) |
(+ y (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) |
(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) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y)) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
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(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/3 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64)) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* 2 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (pow.f64 y #s(literal 3 binary64))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (- 2 (* 3 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) y) |
(* -1/2 (pow y 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y 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)) |
(* y (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x (* y (+ 1 (* 1/2 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x) |
(* y (+ (* x (+ 1 (* 1/2 x))) (/ 1 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+.f64 (-.f64 (/.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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (-.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 (neg.f64 (-.f64 (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 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* y (- (* 3 (/ 1 y)) 2))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (* y (- (* -1/2 x) 1)))) |
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (- (* -1/2 x) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 357 |
| 0 | 78 | 357 |
| 1 | 303 | 357 |
| 2 | 2380 | 357 |
| 0 | 9800 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(*.f64 y (expm1.f64 x)) |
y |
(expm1.f64 x) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
(*.f64 (*.f64 y c) x) |
(*.f64 y c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)) |
(fma.f64 y y (neg.f64 y)) |
(neg.f64 y) |
#s(literal -1/2 binary64) |
(*.f64 c (log.f64 #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)) |
#s(literal 1 binary64) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))) |
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (expm1.f64 x) y) |
(*.f64 y (expm1.f64 x)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 (neg.f64 (neg.f64 y))) |
(fabs.f64 (neg.f64 y)) |
(fabs.f64 y) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
y |
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
(log.f64 (exp.f64 x)) |
x |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) |
(*.f64 (*.f64 c x) y) |
(*.f64 (*.f64 x y) c) |
(*.f64 (*.f64 c y) x) |
(*.f64 c (*.f64 x y)) |
(*.f64 x (*.f64 c y)) |
(*.f64 y (*.f64 c x)) |
(*.f64 c y) |
(*.f64 y c) |
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x y) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x y) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (*.f64 y y)) x)) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x y) |
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) y) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(-.f64 y (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) x)) |
(-.f64 y (*.f64 (neg.f64 (*.f64 x y)) #s(literal 1/2 binary64))) |
(-.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y))) |
(+.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y) |
(+.f64 y (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(*.f64 y (*.f64 #s(literal 1 binary64) x)) |
(*.f64 y x) |
Compiled 43 988 to 5 378 computations (87.8% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 892 | 20 | 912 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 899 | 28 | 927 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.4% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| 65.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| ▶ | 64.7% | (*.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) |
| 16.1% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 52.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) | |
| 80.7% | (*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) | |
| 28.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| ✓ | 42.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 1.8% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) | |
| 38.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))))) | |
| 28.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 42.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) | |
| 47.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| ▶ | 29.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
| 51.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) | |
| 51.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) | |
| 51.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) | |
| 21.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) | |
| 53.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) | |
| 71.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| 44.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| ▶ | 24.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
| 37.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) | |
| ✓ | 59.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| 53.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ▶ | 56.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
Compiled 1 664 to 1 199 computations (27.9% saved)
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 c x) y) |
(*.f64 c x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
(/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x)) |
(fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y y) y) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 x) |
(*.f64 x x) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c y) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (* 9/2 (* x y)))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y)))))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y))))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
x |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1/2 (* x (- (pow y 2) y)))) (pow x 2)) |
(/ (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (pow x 2)) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (* x (- (pow y 2) y)))) x) |
(* -1 x) |
(pow x 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 (* 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 (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(+ 1 (* 1/2 x)) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(* y (- (exp (* 3 x)) 1)) |
(- (exp (* 3 x)) 1) |
(+ 1 (+ (exp x) (pow (exp x) 2))) |
(exp x) |
(+ 1 (exp x)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))) |
(* -1/2 (/ (- (pow y 2) y) x)) |
(/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x) |
(* 1/2 (- (pow y 2) y)) |
(+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))) |
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* 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))))))))) |
(sqrt y) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* (pow x 2) (* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/2 (/ 1 x)))))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ (* y (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* 1/3 (* (pow x 2) y)))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* y (+ 1/6 (+ (* -1 (* y (+ 1/2 (* 1/2 (/ 1 x))))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (* y (- (* 1/3 y) (+ 1/2 (* 1/2 (/ 1 x))))) (/ 1 (pow x 2)))))) |
(* y (+ 1 (* -3 y))) |
(* y (+ 1 (* y (- (* 2 y) 3)))) |
-3 |
(- (* 2 y) 3) |
(* 2 y) |
(pow y 2) |
(/ (* y (+ 1/2 (/ 1 x))) x) |
(* y (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* y (+ 1/2 (/ 1 x)))) |
(* y (- (* 1/2 y) (+ 1/2 (/ 1 x)))) |
(* -1 y) |
(* y (- y 1)) |
(* 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 (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2)))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2))))) |
(* 1/3 (pow y 3)) |
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)))) |
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(* y (- 2 (* 3 (/ 1 y)))) |
(* -1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1 (* (pow x 2) y))) (* 1/2 (/ 1 x)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) y)))) |
(* (pow y 2) (- 1 (/ 1 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)))))) |
(+ (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 (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* -1 (* c (* x (* y (pow (sqrt -1) 2))))) |
(* -1 (* c (* y (pow (sqrt -1) 2)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* -1 (/ (* (pow x 2) (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6)) y))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(* -1 (* y (- (* 3 (/ 1 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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | c | @ | 0 | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) (exp x) (+ (exp x) 1) 1 c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (* (sqrt y) (sqrt y)) c) x) (* (* (sqrt y) (sqrt y)) c) (* (sqrt y) (sqrt y)) (sqrt y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (+ (* (- (* 2 y) 3) (* y y)) y) (- (* 2 y) 3) (* 2 y) 2 (* y y) 1/6 (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (- (* y y) y) 1/2 (/ (neg y) x) (neg y) (neg x) (* x x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 46.0ms | c | @ | inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) (exp x) (+ (exp x) 1) 1 c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (* (sqrt y) (sqrt y)) c) x) (* (* (sqrt y) (sqrt y)) c) (* (sqrt y) (sqrt y)) (sqrt y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (+ (* (- (* 2 y) 3) (* y y)) y) (- (* 2 y) 3) (* 2 y) 2 (* y y) 1/6 (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (- (* y y) y) 1/2 (/ (neg y) x) (neg y) (neg x) (* x x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 45.0ms | x | @ | inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) (exp x) (+ (exp x) 1) 1 c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (* (sqrt y) (sqrt y)) c) x) (* (* (sqrt y) (sqrt y)) c) (* (sqrt y) (sqrt y)) (sqrt y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (+ (* (- (* 2 y) 3) (* y y)) y) (- (* 2 y) 3) (* 2 y) 2 (* y y) 1/6 (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (- (* y y) y) 1/2 (/ (neg y) x) (neg y) (neg x) (* x x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 43.0ms | x | @ | -inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) (exp x) (+ (exp x) 1) 1 c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (* (sqrt y) (sqrt y)) c) x) (* (* (sqrt y) (sqrt y)) c) (* (sqrt y) (sqrt y)) (sqrt y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (+ (* (- (* 2 y) 3) (* y y)) y) (- (* 2 y) 3) (* 2 y) 2 (* y y) 1/6 (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (- (* y y) y) 1/2 (/ (neg y) x) (neg y) (neg x) (* x x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 36.0ms | c | @ | -inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) (exp x) (+ (exp x) 1) 1 c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (* (sqrt y) (sqrt y)) c) x) (* (* (sqrt y) (sqrt y)) c) (* (sqrt y) (sqrt y)) (sqrt y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (+ (* (- (* 2 y) 3) (* y y)) y) (- (* 2 y) 3) (* 2 y) 2 (* y y) 1/6 (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (- (* y y) y) 1/2 (/ (neg y) x) (neg y) (neg x) (* x x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1039 | 5811 |
| 1 | 3889 | 5432 |
| 2 | 7982 | 5432 |
| 0 | 8002 | 4798 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* c y) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (* 9/2 (* x y)))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y)))))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y))))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
x |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1/2 (* x (- (pow y 2) y)))) (pow x 2)) |
(/ (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (pow x 2)) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (* x (- (pow y 2) y)))) x) |
(* -1 x) |
(pow x 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 (* 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 (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(+ 1 (* 1/2 x)) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(* y (- (exp (* 3 x)) 1)) |
(- (exp (* 3 x)) 1) |
(+ 1 (+ (exp x) (pow (exp x) 2))) |
(exp x) |
(+ 1 (exp x)) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))) |
(* -1/2 (/ (- (pow y 2) y) x)) |
(/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x) |
(* 1/2 (- (pow y 2) y)) |
(+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))) |
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* 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))))))))) |
(sqrt y) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* (pow x 2) (* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/2 (/ 1 x)))))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ (* y (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* 1/3 (* (pow x 2) y)))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* y (+ 1/6 (+ (* -1 (* y (+ 1/2 (* 1/2 (/ 1 x))))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (* y (- (* 1/3 y) (+ 1/2 (* 1/2 (/ 1 x))))) (/ 1 (pow x 2)))))) |
(* y (+ 1 (* -3 y))) |
(* y (+ 1 (* y (- (* 2 y) 3)))) |
-3 |
(- (* 2 y) 3) |
(* 2 y) |
(pow y 2) |
(/ (* y (+ 1/2 (/ 1 x))) x) |
(* y (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* y (+ 1/2 (/ 1 x)))) |
(* y (- (* 1/2 y) (+ 1/2 (/ 1 x)))) |
(* -1 y) |
(* y (- y 1)) |
(* 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 (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2)))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2))))) |
(* 1/3 (pow y 3)) |
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)))) |
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* 2 (pow y 3)) |
(* (pow y 3) (- 2 (* 3 (/ 1 y)))) |
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y)))) |
(* y (- 2 (* 3 (/ 1 y)))) |
(* -1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1 (* (pow x 2) y))) (* 1/2 (/ 1 x)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) y)))) |
(* (pow y 2) (- 1 (/ 1 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)))))) |
(+ (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 (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* -1 (* c (* x (* y (pow (sqrt -1) 2))))) |
(* -1 (* c (* y (pow (sqrt -1) 2)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* -1 (/ (* (pow x 2) (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6)) y))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2))) |
(* -1 (* y (- (* 3 (/ 1 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)))) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c) |
(* c (* x y)) |
(*.f64 (*.f64 y x) c) |
(* c x) |
(*.f64 c x) |
(* c y) |
(*.f64 c y) |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) x) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -24 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (*.f64 y #s(literal 47/24 binary64)) (fma.f64 #s(literal 3/2 binary64) y (*.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64))))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) c) (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))))) x (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
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(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 607 |
| 0 | 115 | 591 |
| 1 | 458 | 557 |
| 2 | 3819 | 545 |
| 0 | 8681 | 493 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 c x) y) |
(*.f64 c x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
(/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x)) |
(fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y y) y) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 x) |
(*.f64 x x) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(+.f64 (log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64)))) (log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (expm1.f64 x)) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 x)) y))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) |
(*.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (*.f64 (expm1.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (expm1.f64 x))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 x))) |
(*.f64 (expm1.f64 x) y) |
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) y) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) y) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) y) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) y) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) x)) |
(expm1.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(expm1.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x (log.f64 (exp.f64 #s(literal 3 binary64)))) |
(*.f64 x #s(literal 3 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (log.f64 (neg.f64 (exp.f64 x))) x) |
(fma.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 x))) x) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 x #s(literal 2 binary64) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))))) |
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(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(neg.f64 (neg.f64 x)) |
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x |
#s(literal 3 binary64) |
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y |
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(+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 82 123 to 10 050 computations (87.8% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 682 | 12 | 1 694 |
| Fresh | 4 | 16 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 688 | 34 | 1 722 |
| Status | Accuracy | Program |
|---|---|---|
| 57.9% | (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) | |
| ▶ | 73.3% | (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.4% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| 65.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| 28.9% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))))))) c) | |
| ✓ | 64.7% | (*.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) |
| 24.4% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) | |
| ▶ | 52.6% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| 16.1% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 28.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| ✓ | 42.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 38.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))))) | |
| 28.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) | |
| 42.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) | |
| 47.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 21.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) | |
| 51.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) | |
| 51.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x))) | |
| 51.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) | |
| ▶ | 29.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x))) |
| 25.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) | |
| 24.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) | |
| 53.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) | |
| 71.0% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) | |
| ▶ | 44.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
| ✓ | 24.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
| 24.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) | |
| 37.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) | |
| ✓ | 59.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| ▶ | 23.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
| 53.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ✓ | 56.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
| 23.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
Compiled 2 280 to 1 551 computations (32% saved)
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
#s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)) |
c |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
(*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c)) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 y) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) |
(*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x)) |
#s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) |
(*.f64 (-.f64 (*.f64 y y) y) x) |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
#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 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c (sqrt y)) |
(* c (* y (- (pow (E) x) 1))) |
(* c (- (pow (E) x) 1)) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (* 9/2 (* x y)))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y)))))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y))))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
x |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 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))))))))) |
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* -1 (/ (* (pow x 2) (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6)) y))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | c | @ | 0 | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) c (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x (sqrt y)) (* (sqrt y) c)) (* x (sqrt y)) (sqrt y) (* (sqrt y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (+ (* (* (- (* y y) y) x) -1/2) y) (* (- (* y y) y) x) (- (* y y) y) (* y y) -1/2 (* x x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (pow (E) x) (E) 1) |
| 27.0ms | x | @ | -inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) c (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x (sqrt y)) (* (sqrt y) c)) (* x (sqrt y)) (sqrt y) (* (sqrt y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (+ (* (* (- (* y y) y) x) -1/2) y) (* (- (* y y) y) x) (- (* y y) y) (* y y) -1/2 (* x x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (pow (E) x) (E) 1) |
| 26.0ms | c | @ | -inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) c (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x (sqrt y)) (* (sqrt y) c)) (* x (sqrt y)) (sqrt y) (* (sqrt y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (+ (* (* (- (* y y) y) x) -1/2) y) (* (- (* y y) y) x) (- (* y y) y) (* y y) -1/2 (* x x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (pow (E) x) (E) 1) |
| 24.0ms | x | @ | inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) c (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x (sqrt y)) (* (sqrt y) c)) (* x (sqrt y)) (sqrt y) (* (sqrt y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (+ (* (* (- (* y y) y) x) -1/2) y) (* (- (* y y) y) x) (- (* y y) y) (* y y) -1/2 (* x x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (pow (E) x) (E) 1) |
| 24.0ms | c | @ | inf | ((* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (* x 3) x 3 y (+ (* (exp x) (exp x)) (+ (exp x) 1)) c (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x (sqrt y)) (* (sqrt y) c)) (* x (sqrt y)) (sqrt y) (* (sqrt y) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (+ (* (* (- (* y y) y) x) -1/2) y) (* (- (* y y) y) x) (- (* y y) y) (* y y) -1/2 (* x x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (pow (E) x) (E) 1) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 903 | 4944 |
| 1 | 3490 | 4657 |
| 0 | 8938 | 4200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c (sqrt y)) |
(* c (* y (- (pow (E) x) 1))) |
(* c (- (pow (E) x) 1)) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(* x y) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (* 9/2 (* x y)))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y)))))) |
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y))))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
x |
3 |
(+ 3 (* 3 x)) |
(+ 3 (* x (+ 3 (* 5/2 x)))) |
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))) |
(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))))))))) |
(* x (sqrt y)) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
(* x (+ y (* -1/2 (* x (- (pow y 2) y))))) |
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))) |
y |
(+ y (* -1/2 (* x (- (pow y 2) y)))) |
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1/2 (* x (- (pow y 2) y)))) (pow x 2)) |
(/ (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))) (pow x 2)) |
(/ y x) |
(/ (+ y (* -1/2 (* x (- (pow y 2) y)))) x) |
(* x (- (pow y 2) y)) |
(pow x 2) |
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E)))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2)))))))) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3)))))))))) |
(* c (* x (log (E)))) |
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E))))) |
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2))))))) |
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3))))))))) |
(* x (log (E))) |
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))) |
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))) |
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3)))))))) |
1 |
(+ 1 (* x (log (E)))) |
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))) |
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) |
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))) |
(* y (- (exp (* 3 x)) 1)) |
(- (exp (* 3 x)) 1) |
(+ 1 (+ (exp x) (pow (exp x) 2))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 3) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2))))) |
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))) |
(* -1/2 (/ (- (pow y 2) y) x)) |
(/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x) |
(* -1/2 (- (pow y 2) y)) |
(+ (* -1/2 (- (pow y 2) y)) (/ y x)) |
(* -1/2 (* x (- (pow y 2) y))) |
(* x (+ (* -1/2 (- (pow y 2) y)) (/ y x))) |
(- (pow (E) x) 1) |
(pow (E) x) |
(* -1 (* (pow x 3) (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (- (pow y 2) y)) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) |
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))))) |
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))) |
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))) |
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) |
(* y (+ (* -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))))))))) |
(sqrt y) |
(* y (- (pow (E) x) 1)) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))) |
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2)))))) |
(* y (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x)))))) |
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2))))))) |
(* (pow x 2) (* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ (* -1 (* (pow x 2) (* y (+ 1/2 (* 1/2 (/ 1 x)))))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ (* y (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* 1/3 (* (pow x 2) y)))) (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* y (+ 1/6 (+ (* -1 (* y (+ 1/2 (* 1/2 (/ 1 x))))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* y (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (* y (- (* 1/3 y) (+ 1/2 (* 1/2 (/ 1 x))))) (/ 1 (pow x 2)))))) |
(/ (* y (+ 1 (* 1/2 x))) (pow x 2)) |
(* y (+ (* -1/2 (/ y x)) (+ (/ 1/2 x) (/ 1 (pow x 2))))) |
(/ (* y (+ 1 (* 1/2 x))) x) |
(* y (+ 1/2 (+ (* -1/2 y) (/ 1 x)))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* x y))) |
(* -1 y) |
(* y (- y 1)) |
(pow y 2) |
(* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))) (+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))) |
(+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) |
(- (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* 1/3 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))) |
(* 1/3 (* (pow x 2) (pow y 3))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y))))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2)))) |
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2))))) |
(* 1/3 (pow y 3)) |
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)))) |
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1 (* (pow x 2) y))) (* 1/2 (/ 1 x)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* x y))) 1/2)) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1))))))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)))) |
(* 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)))))) |
(* -1 (* c (* x (* y (pow (sqrt -1) 2))))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (* c (pow (sqrt -1) 2)) (sqrt y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* -1 (/ (* (pow x 2) (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6)) y))) y)) (* -1/3 (pow x 2))))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
| Outputs |
|---|
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c) |
c |
(* 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 (sqrt y)) |
(*.f64 (sqrt.f64 y) c) |
(* c (* y (- (pow (E) x) 1))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) c) |
(* c (- (pow (E) x) 1)) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) x) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -6 binary64) y) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -24 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (*.f64 y #s(literal 47/24 binary64)) (fma.f64 #s(literal 3/2 binary64) y (*.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64)))))) #s(literal 1/24 binary64))) x (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) y) x) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) y) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) y) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(* -1 (* c (* x (* y (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 c)) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(*.f64 x (*.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(* -1 (* (* c (pow (sqrt -1) 2)) (sqrt y))) |
(*.f64 c (*.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))) (* -1 (/ (* (pow x 2) (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6)) y))) y)) (* -1/3 (pow x 2))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64)) y)))) (neg.f64 y)))) |
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) #s(literal 1/3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 717 |
| 0 | 117 | 711 |
| 1 | 462 | 691 |
| 2 | 3687 | 670 |
| 0 | 8344 | 596 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) |
(expm1.f64 (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
#s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)) |
c |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
(*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c)) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 y) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x))) |
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) |
(*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x)) |
#s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) |
(*.f64 (-.f64 (*.f64 y y) y) x) |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
#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 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y) |
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(pow.f64 (E.f64) x) |
(E.f64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) c) |
(log.f64 (pow.f64 (fma.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (*.f64 (/.f64 y #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
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(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x)) |
(*.f64 (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x)) |
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) |
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (E.f64) (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (E.f64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (E.f64) x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(exp.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(*.f64 (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))) (exp.f64 #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/9 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))) (cbrt.f64 (exp.f64 #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (E.f64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64)))) |
(*.f64 (sqrt.f64 (E.f64)) (log.f64 (exp.f64 (sqrt.f64 (E.f64))))) |
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) |
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64))) |
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)) |
(pow.f64 (E.f64) #s(literal 1 binary64)) |
(cbrt.f64 (exp.f64 #s(literal 3 binary64))) |
(sqrt.f64 (exp.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 #s(literal 1 binary64)) |
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64))) |
(log.f64 (exp.f64 (E.f64))) |
(E.f64) |
#s(literal 1 binary64) |
Compiled 56 110 to 5 791 computations (89.7% saved)
40 alts after pruning (33 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 918 | 18 | 936 |
| Fresh | 8 | 15 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 930 | 40 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| 57.9% | (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) | |
| 64.8% | (*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) | |
| 66.6% | (*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) | |
| ✓ | 93.4% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
| 64.4% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| 65.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| 28.9% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))))))) c) | |
| ✓ | 64.7% | (*.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) |
| 24.4% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) | |
| 21.1% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) | |
| ✓ | 52.6% | (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
| 16.1% | (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) | |
| 28.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) | |
| ✓ | 42.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 47.8% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) | |
| 21.7% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) | |
| 51.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) | |
| 30.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) | |
| 22.3% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) | |
| 25.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) | |
| 24.1% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) | |
| 29.6% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) | |
| 53.4% | #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) | |
| 75.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 c y)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) | |
| 75.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) y)) | |
| 44.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) x) #s(literal 1 binary64)) c) y)) | |
| 44.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) c) y)) | |
| 24.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) | |
| 25.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) | |
| 28.6% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) | |
| 24.2% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) | |
| 23.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) | |
| 75.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| 54.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) | |
| 55.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) | |
| 54.9% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y)) | |
| ✓ | 59.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| ✓ | 23.5% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
| 53.4% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)) | |
| ✓ | 56.7% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
Compiled 3 823 to 1 459 computations (61.8% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))))))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 c y)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)))) c) |
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) |
(*.f64 c (log.f64 (fma.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
9 calls:
| 53.0ms | c |
| 41.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 20.0ms | y |
| 16.0ms | x |
| 14.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 1 | (pow.f64 (E.f64) x) |
| 93.4% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 93.4% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 93.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 93.4% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 93.4% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 93.4% | 1 | c |
| 93.4% | 1 | x |
| 99.8% | 3 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) x) #s(literal 1 binary64)) c) y)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
9 calls:
| 19.0ms | c |
| 17.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 16.0ms | x |
| 14.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 2 | (pow.f64 (E.f64) x) |
| 85.1% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 83.7% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 75.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 75.1% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 75.1% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 80.1% | 2 | c |
| 85.1% | 2 | x |
| 91.5% | 3 | y |
Compiled 49 to 59 computations (-20.4% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) c) y)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
1 calls:
| 25.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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:
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
| 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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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:
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
| Outputs |
|---|
(*.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 (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))))) |
4 calls:
| 20.0ms | x |
| 11.0ms | y |
| 10.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 8.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | x |
| 75.1% | 1 | (pow.f64 (E.f64) x) |
| 75.1% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 85.1% | 3 | y |
Compiled 10 to 18 computations (-80% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
3 calls:
| 13.0ms | y |
| 12.0ms | c |
| 8.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 2 | c |
| 75.1% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 75.1% | 1 | y |
Compiled 9 to 14 computations (-55.6% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
1 calls:
| 12.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | c |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 y c) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.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)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 y y)) c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) c) #s(literal 1/2 binary64) (*.f64 c y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) c) x))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) c))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) x) (sqrt.f64 y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) c) (sqrt.f64 y)) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) c) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 y (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 #s(approx (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) (/.f64 y x)) x)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) #s(approx (/ (/ (+ (* (* (- (* y y) y) x) -1/2) y) x) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y x)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) y) x) x)) (*.f64 x x))) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (*.f64 y c)) x)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x)) (*.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal -1/2 binary64)))) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 #s(approx (+ (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6) (/ (+ (* (- (* y y) y) 1/2) (/ (neg y) x)) (neg x))) (*.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) y)) (*.f64 x x))) x))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
9 calls:
| 14.0ms | y |
| 11.0ms | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 9.0ms | x |
| 9.0ms | c |
| 8.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 59.8% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 59.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 59.8% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 59.8% | 1 | (pow.f64 (E.f64) x) |
| 59.8% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 59.8% | 1 | x |
| 59.8% | 1 | y |
| 61.9% | 2 | c |
Compiled 49 to 59 computations (-20.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
9 calls:
| 19.0ms | x |
| 1.0ms | c |
| 1.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 1 | y |
| 56.7% | 1 | x |
| 56.7% | 1 | (pow.f64 (E.f64) x) |
| 56.7% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 56.7% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 56.7% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 56.7% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 56.7% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 56.7% | 1 | c |
Compiled 49 to 59 computations (-20.4% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.2643697625533231e-43 | 8.829624956897738e-39 |
| 28.0ms | -4.2850194469699456e-5 | -1.5656061574421548e-7 |
| 22.0ms | 89× | 1 | valid |
| 5.0ms | 55× | 0 | valid |
Compiled 249 to 232 computations (6.8% saved)
ival-pow: 10.0ms (46.4% of total)ival-e: 4.0ms (18.6% of total)ival-mult: 3.0ms (13.9% of total)adjust: 2.0ms (9.3% of total)ival-log1p: 2.0ms (9.3% of total)ival-sub: 1.0ms (4.6% 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 |
|---|---|---|
| 11.0ms | 6.089366209600296e-20 | 7.671322754932679e-20 |
| 52.0ms | -161483.24319686525 | -16374.09338478145 |
| 48.0ms | 98× | 1 | valid |
| 4.0ms | 46× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 366 to 319 computations (12.8% saved)
adjust: 27.0ms (57.9% of total)ival-pow: 9.0ms (19.3% of total)ival-e: 4.0ms (8.6% of total)ival-mult: 3.0ms (6.4% of total)ival-log1p: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.089366209600296e-20 | 7.671322754932679e-20 |
| 1.0ms | -161483.24319686525 | -16374.09338478145 |
Compiled 357 to 313 computations (12.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.089366209600296e-20 | 7.671322754932679e-20 |
| 52.0ms | -161483.24319686525 | -16374.09338478145 |
| 46.0ms | 57× | 1 | valid |
| 2.0ms | 23× | 0 | valid |
Compiled 402 to 331 computations (17.7% saved)
ival-pow: 38.0ms (84.1% of total)ival-e: 2.0ms (4.4% of total)ival-mult: 2.0ms (4.4% of total)adjust: 1.0ms (2.2% of total)ival-sub: 1.0ms (2.2% of total)ival-log1p: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.089366209600296e-20 | 7.671322754932679e-20 |
| 53.0ms | -5.492337470407822e+40 | -2.4977808621524515e+30 |
| 23.0ms | 102× | 1 | valid |
| 22.0ms | 58× | 0 | valid |
| 1.0ms | 4× | 1 | invalid |
| 0.0ms | 1× | 0 | invalid |
Compiled 470 to 419 computations (10.9% saved)
ival-pow: 10.0ms (43% of total)ival-e: 4.0ms (17.2% of total)ival-mult: 3.0ms (12.9% of total)adjust: 2.0ms (8.6% of total)ival-log1p: 2.0ms (8.6% of total)ival-sub: 1.0ms (4.3% 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 |
|---|---|---|
| 65.0ms | 2.3526359053622494e+198 | 1.2654582606780155e+199 |
| 88.0ms | -3.0755252876300077e+160 | -6.344027792643336e+156 |
| 68.0ms | 172× | 1 | valid |
| 24.0ms | 75× | 1 | invalid |
| 7.0ms | 78× | 0 | invalid |
| 5.0ms | 52× | 0 | valid |
Compiled 519 to 450 computations (13.3% saved)
ival-pow: 31.0ms (46.8% of total)ival-e: 14.0ms (21.1% of total)ival-mult: 7.0ms (10.6% of total)adjust: 5.0ms (7.5% of total)ival-log1p: 5.0ms (7.5% of total)ival-sub: 3.0ms (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× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 13008.397295940445 | 9908333313.212055 |
| 30.0ms | 102× | 1 | valid |
| 4.0ms | 42× | 0 | valid |
Compiled 348 to 295 computations (15.2% saved)
ival-e: 10.0ms (35.2% of total)ival-pow: 10.0ms (35.2% of total)ival-mult: 3.0ms (10.5% of total)adjust: 2.0ms (7% of total)ival-log1p: 2.0ms (7% of total)ival-sub: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.7376384473051163e-65 | 2.0622888483344472e-60 |
| 5.0ms | 20× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 87 to 76 computations (12.6% saved)
ival-pow: 2.0ms (43.3% of total)ival-e: 1.0ms (21.7% of total)ival-mult: 1.0ms (21.7% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-log1p: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 427 |
| 1 | 155 | 427 |
| 2 | 247 | 427 |
| 3 | 632 | 427 |
| 4 | 2728 | 415 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (<=.f64 y #s(literal -105000 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -105000 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -17000 binary64)) (*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 -1099999999999999968955791700918272 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 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 -16999999999999998954960421627268978282878567495324756503835286021762740719793346330997101735286617760086928408618828264705964769106633960634935238969301925888 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 2449999999999999930095253363184522855229238677284556903518667840099753172266627956191038769802121112679974072313194404351576961381994830996437568206879034923116237811269053369924604592684240409198592 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 c #s(literal 500000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(if (<=.f64 c #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) 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 x) y)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c))) |
(if (or (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (not (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -105000 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -105000 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 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 (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))) |
(if (<=.f64 y #s(literal -105000 binary64)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))) |
(if (or (<=.f64 y #s(literal -105000 binary64)) (not (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)))) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -17000 binary64)) (*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 -17000 binary64)) (*.f64 (log1p.f64 (/.f64 (*.f64 #s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x)) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 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 -1099999999999999968955791700918272 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 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 (or (<=.f64 y #s(literal -1099999999999999968955791700918272 binary64)) (not (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 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) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -16999999999999998954960421627268978282878567495324756503835286021762740719793346330997101735286617760086928408618828264705964769106633960634935238969301925888 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 2449999999999999930095253363184522855229238677284556903518667840099753172266627956191038769802121112679974072313194404351576961381994830996437568206879034923116237811269053369924604592684240409198592 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.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 (or (<=.f64 y #s(literal -16999999999999998954960421627268978282878567495324756503835286021762740719793346330997101735286617760086928408618828264705964769106633960634935238969301925888 binary64)) (not (<=.f64 y #s(literal 2449999999999999930095253363184522855229238677284556903518667840099753172266627956191038769802121112679974072313194404351576961381994830996437568206879034923116237811269053369924604592684240409198592 binary64)))) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 c #s(literal 500000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 c #s(literal 500000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(if (<=.f64 c #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y))) |
(if (<=.f64 c #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 y c) x)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c x) y))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1290 |
| 1 | 1139 | 1113 |
| 2 | 4652 | 1083 |
| 0 | 8131 | 1009 |
| 0 | 45 | 357 |
| 0 | 78 | 357 |
| 1 | 303 | 357 |
| 2 | 2380 | 357 |
| 0 | 9800 | 329 |
| 0 | 11 | 51 |
| 0 | 18 | 51 |
| 1 | 72 | 51 |
| 2 | 472 | 45 |
| 3 | 4700 | 45 |
| 0 | 8215 | 30 |
| 0 | 903 | 4944 |
| 1 | 3490 | 4657 |
| 0 | 8938 | 4200 |
| 0 | 727 | 3366 |
| 1 | 2732 | 3232 |
| 0 | 8657 | 2885 |
| 0 | 1039 | 5811 |
| 1 | 3889 | 5432 |
| 2 | 7982 | 5432 |
| 0 | 8002 | 4798 |
| 0 | 86 | 717 |
| 0 | 117 | 711 |
| 1 | 462 | 691 |
| 2 | 3687 | 670 |
| 0 | 8344 | 596 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 262 to 653 computations (48.3% saved)
(negabs c)
Compiled 1 076 to 404 computations (62.5% saved)
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