
Time bar (total: 33.5s)
| 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)
| 21.4s | 1 619× | 5 | exit |
| 4.5s | 4 816× | 1 | valid |
| 437.0ms | 725× | 1 | invalid |
| 344.0ms | 3 440× | 0 | valid |
| 78.0ms | 699× | 0 | invalid |
ival-pow: 19.3s (74.5% of total)ival-e: 4.8s (18.6% of total)ival-log1p: 580.0ms (2.2% of total)adjust: 527.0ms (2% of total)ival-mult: 447.0ms (1.7% of total)ival-sub: 173.0ms (0.7% of total)exact: 17.0ms (0.1% of total)ival-true: 14.0ms (0.1% of total)ival-assert: 7.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 173 | 0 | - | 0 | - | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 159 | 44 | (-9.573296454524726e+225 1.2993402980256519e-235 6.271403599784942e-91) | 1 | (1.9011043683711638e+152 -1.281939530784391e+64 -0.012434990273700826) | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 23 | 0 | - | 2 | (1.1825994282954595e+216 1.3446917616824947e-93 -7.813384384794548e-222) | (*.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 | 201 | 2 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 34 | 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 | 21 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) | overflow | 1 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) | overflow | 1 | |
| ↳ | (pow.f64 (E.f64) x) | overflow | 1 | |
| ↳ | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 171 | 1 |
| - | 57 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 171 | 1 | 0 |
| - | 57 | 0 | 27 |
| number | freq |
|---|---|
| 0 | 28 |
| 1 | 199 |
| 2 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 178.0ms | 344× | 1 | valid |
| 17.0ms | 168× | 0 | valid |
Compiled 118 to 37 computations (68.6% saved)
ival-pow: 95.0ms (56.5% of total)adjust: 26.0ms (15.5% of total)ival-e: 21.0ms (12.5% of total)ival-mult: 10.0ms (5.9% of total)ival-log1p: 7.0ms (4.2% of total)ival-sub: 5.0ms (3% of total)ival-add: 4.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 93 | 113 |
| 2 | 148 | 113 |
| 3 | 287 | 113 |
| 4 | 487 | 113 |
| 5 | 1531 | 113 |
| 6 | 7821 | 113 |
| 0 | 11 | 12 |
| 0 | 18 | 12 |
| 1 | 27 | 12 |
| 2 | 41 | 12 |
| 3 | 77 | 12 |
| 4 | 169 | 12 |
| 5 | 751 | 12 |
| 0 | 8560 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c) |
(negabs c)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.7% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
Compiled 12 to 11 computations (8.3% saved)
| 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 | |
|---|---|---|---|---|
| 68.0ms | 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) |
| 38.0ms | 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) |
| 35.0ms | y | @ | 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) |
| 20.0ms | 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) |
| 19.0ms | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1292 |
| 1 | 1139 | 1115 |
| 2 | 4998 | 1101 |
| 0 | 8106 | 1024 |
| 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 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))) x)) x (*.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 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.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 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) 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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) 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 x #s(literal -1 binary64)) |
(+ 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 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.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 (- (+ (* 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 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (* -1/2 (/ 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 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (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)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) #s(literal 1 binary64)) y) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (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 |
| 0 | 508 | 41 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c)) |
c |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(log.f64 (fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))))) |
(-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1 binary64)))) y) |
(*.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 1 binary64))) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) y) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) y) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) |
(fma.f64 (*.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))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.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)))) #s(literal -1 binary64)) |
(fma.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)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.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)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (E.f64) x) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))) |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (E.f64) x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (E.f64) x)))) |
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (E.f64) x) #s(literal -1 binary64)) |
(*.f64 (*.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))) #s(literal 1 binary64))) |
(*.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 (exp.f64 #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x)) |
(*.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 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (E.f64) x)) |
(pow.f64 (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #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) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (E.f64) x) |
(exp.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 x #s(literal 1 binary64))) (sinh.f64 (*.f64 x #s(literal 1 binary64)))) |
(E.f64) |
x |
y |
Compiled 3 158 to 708 computations (77.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 13 | 136 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 13 | 137 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.7% | (*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
| 22.1% | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) | |
| ▶ | 32.8% | (*.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)))) |
| 33.6% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) | |
| ▶ | 33.7% | (*.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))))) |
| 37.0% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) | |
| ▶ | 26.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 43.2% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) | |
| 46.4% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) | |
| 53.0% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) | |
| 51.5% | (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | |
| 41.1% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) | |
| ▶ | 62.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
Compiled 554 to 434 computations (21.7% saved)
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
y |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
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 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
(*.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) |
(*.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)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
| 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))))) |
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 |
(+ y (* 1/2 (* x y))) |
(* 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 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* 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))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 y)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (+ (* -1/2 (* 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)) |
(+ 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))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* 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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 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 | |
|---|---|---|---|---|
| 75.0ms | y | @ | -inf | ((* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) y (- (exp (* x 1)) 1) (* x 1) x 1 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 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6) |
| 49.0ms | c | @ | 0 | ((* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) y (- (exp (* x 1)) 1) (* x 1) x 1 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 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6) |
| 41.0ms | c | @ | -inf | ((* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) y (- (exp (* x 1)) 1) (* x 1) x 1 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 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6) |
| 34.0ms | x | @ | inf | ((* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) y (- (exp (* x 1)) 1) (* x 1) x 1 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 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6) |
| 29.0ms | x | @ | -inf | ((* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) y (- (exp (* x 1)) 1) (* x 1) x 1 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 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* 1/2 (* y x)) y) 1/2 (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 584 | 2581 |
| 1 | 2274 | 2454 |
| 0 | 9403 | 2162 |
| 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))))))))) |
(* 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))))) |
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 |
(+ y (* 1/2 (* x y))) |
(* 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 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* 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))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 y)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (+ (* -1/2 (* 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)) |
(+ 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))))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* 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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 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) #s(literal 1/2 binary64)) c (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x 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 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)) x (*.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 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.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 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 x y) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64)) c (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (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 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x (* 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))))) |
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(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c (*.f64 y y)) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c (*.f64 y y)) (fma.f64 (/.f64 c (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) |
(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (* y (+ 1 (* 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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) 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 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* 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 (* x (* y (- (* -1/2 x) 1)))) |
(*.f64 (*.f64 (neg.f64 x) y) (fma.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 (fma.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) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 319 |
| 0 | 69 | 309 |
| 1 | 261 | 271 |
| 2 | 1910 | 271 |
| 0 | 8226 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) c) |
(log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) |
(*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64)))) |
y |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
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 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) |
(*.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) |
(*.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)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(+.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 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(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 (-.f64 #s(literal 1 binary64) (neg.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 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)))))) |
(-.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 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 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 y (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (expm1.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.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 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) |
(*.f64 y (expm1.f64 x)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
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x |
x |
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
Compiled 19 418 to 3 250 computations (83.3% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 539 | 10 | 549 |
| Fresh | 7 | 1 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 549 | 13 | 562 |
| Status | Accuracy | Program |
|---|---|---|
| 91.7% | (*.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) | |
| ▶ | 91.7% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| 61.0% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| 61.9% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) | |
| ▶ | 61.1% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| ▶ | 46.4% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
| 53.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 x y)) c) | |
| ▶ | 37.0% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| 2.1% | (*.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)))))) | |
| ✓ | 26.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 76.1% | #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) | |
| ✓ | 62.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| ▶ | 57.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
Compiled 468 to 365 computations (22% saved)
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 c x) y) |
(*.f64 c x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
(*.f64 y 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 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(* c (log (+ 1 (* y (- (exp x) 1))))) |
c |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* c x) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* 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 (* 1/2 (* x (- y (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (- y (pow y 2))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
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 (* 1/2 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
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(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ 1 (* -1 y))) |
(pow y 2) |
(* 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)) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 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)))) |
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(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
(* y (+ 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)))) |
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(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | c | @ | -inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) x y c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- 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 (* 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 (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 29.0ms | c | @ | inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) x y c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- 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 (* 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 (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 28.0ms | c | @ | 0 | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) x y c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- 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 (* 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 (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 27.0ms | x | @ | -inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) x y c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- 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 (* 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 (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
| 19.0ms | y | @ | -inf | ((* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* (- (exp x) 1) y) (- (exp x) 1) x y c (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- 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 (* 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 (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* y (- (exp (* x 1)) 1)) (- (exp (* x 1)) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 2407 |
| 1 | 2081 | 2288 |
| 0 | 8983 | 2012 |
| 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 x) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(* 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 (* 1/2 (* x (- y (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (- y (pow y 2))) |
(* x (* y (log (E)))) |
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E))))) |
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 (* 1/2 x)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(* y (- (exp x) 1)) |
(- (exp x) 1) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(+ 1 (* y (- (pow (E) x) 1))) |
(* x (+ y (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* c (* y (- (exp x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ 1 (* -1 y))) |
(pow y 2) |
(* 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)) |
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 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)) |
(* y (+ 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)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y)))) |
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
| 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 y x) c) |
(* c x) |
(*.f64 c x) |
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) c)) (-.f64 y (*.f64 y y)) (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)) x (*.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 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y) |
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* c (* x (* y (log (E))))) |
(*.f64 (*.f64 y x) c) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) c)) (-.f64 y (*.f64 y y)) (*.f64 c y)) x) |
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) c) #s(literal 1/6 binary64))) x (*.f64 c y)) x) |
(* x (+ (* c (* y (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 (-.f64 y (*.f64 y y)) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) c) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) x) c) #s(literal 1/24 binary64))) x)) x (*.f64 c y)) x) |
(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) x) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (- y (pow y 2))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* 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 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) x) |
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)) x (*.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 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (log (E))))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(log (+ 1 (* y (- (exp x) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(* y (- (exp x) 1)) |
(*.f64 (expm1.f64 x) y) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 y (*.f64 y y))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x) x) |
(* 1/2 (* x (- y (pow y 2)))) |
(*.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
(+ 1 (* y (- (pow (E) x) 1))) |
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (*.f64 (expm1.f64 x) c)) y) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (*.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (expm1.f64 x) c)) y) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) y) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y) |
(* c (* y (- (pow (E) x) 1))) |
(*.f64 (*.f64 (-.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 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (*.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))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y) |
(* y (+ (* 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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(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
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(* -1/2 (* (pow x 2) (pow y 2))) |
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(* -1/2 (* x (pow y 2))) |
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(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
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(* -1 (* x (pow y 2))) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y) |
(* -1 (pow y 2)) |
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y) |
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(* y (- (+ (/ 1 y) (pow (E) x)) 1)) |
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(* y (+ x (/ 1 y))) |
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(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
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(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
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(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
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(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))) |
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(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
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(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
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(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #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)) |
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(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)) |
(* -1 (* 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 258 |
| 0 | 68 | 230 |
| 1 | 272 | 216 |
| 2 | 1818 | 216 |
| 0 | 8860 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(*.f64 (expm1.f64 x) y) |
(expm1.f64 x) |
x |
y |
c |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
(*.f64 (*.f64 c x) y) |
(*.f64 c x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(-.f64 y (*.f64 y y)) |
(*.f64 y 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 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 c (log1p.f64 (*.f64 y (expm1.f64 x)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) |
(+.f64 (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64)))) (log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (/.f64 c #s(literal 2 binary64))))) |
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(log1p.f64 (*.f64 y (expm1.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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))) (fma.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) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.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 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))) |
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 y (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) |
(*.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 x)) |
(*.f64 (expm1.f64 x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (expm1.f64 x) y) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (E.f64) (*.f64 y (expm1.f64 x)))) |
(*.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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (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 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.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)))) #s(literal 2 binary64))) (*.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)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 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)))) |
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) (fabs.f64 (pow.f64 (cbrt.f64 (E.f64)) x)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
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x |
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(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal -4 binary64)) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.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 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.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 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (+.f64 #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 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.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 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #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)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.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 18 768 to 3 111 computations (83.4% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 11 | 574 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 568 | 19 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| 21.0% | (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) (*.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))))) c) | |
| 32.6% | (*.f64 (/.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)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))))) c) | |
| ▶ | 91.7% | (*.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) |
| ✓ | 91.7% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| ▶ | 61.0% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
| 61.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| ✓ | 61.1% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 21.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) | |
| ▶ | 53.0% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
| ▶ | 48.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
| 50.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) | |
| 50.9% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) | |
| 40.6% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) | |
| 24.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) | |
| ✓ | 37.0% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| ✓ | 26.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| ▶ | 76.1% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| ✓ | 62.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| ✓ | 57.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
Compiled 1 286 to 591 computations (54% 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 |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) |
(*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) |
#s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#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 (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (- (exp x) 1)) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* 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)))) |
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(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* 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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | 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 (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (* (- y (* y y)) x) (- y (* y y)) (* (neg y) y) (neg y) 1/2 (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1) |
| 68.0ms | 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 (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (* (- y (* y y)) x) (- y (* y y)) (* (neg y) y) (neg y) 1/2 (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1) |
| 60.0ms | 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 (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (* (- y (* y y)) x) (- y (* y y)) (* (neg y) y) (neg y) 1/2 (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1) |
| 48.0ms | 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 (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (* (- y (* y y)) x) (- y (* y y)) (* (neg y) y) (neg y) 1/2 (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 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 (* (log (+ 1 (* (- (exp x) 1) y))) c) (log (+ 1 (* (- (exp x) 1) y))) (* y x) (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (log (+ 1 (* y (- (exp (* x 1)) 1)))) (* (+ (* (* (- y (* y y)) x) 1/2) y) x) (+ (* (* (- y (* y y)) x) 1/2) y) (* (- y (* y y)) x) (- y (* y y)) (* (neg y) y) (neg y) 1/2 (* (log (+ 1 (* (- (exp x) 1) y))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 922 | 4870 |
| 1 | 3564 | 4761 |
| 0 | 8065 | 4263 |
| 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 (- (exp x) 1))))) |
(* c (* y (- (exp x) 1))) |
(* c (- (exp x) 1)) |
(* c (log (+ 1 (* y (- (pow (E) x) 1))))) |
(* c (* x y)) |
(* 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))))))) |
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(* 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)))) |
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(* 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)))))) |
(* 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 (* 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)))))))) |
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(* x (+ y (* 1/2 (* x (- y (pow y 2)))))) |
y |
(+ y (* 1/2 (* x (- y (pow y 2))))) |
(* x (- y (pow y 2))) |
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(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))) |
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(* c x) |
(* x (+ c (* 1/2 (* c x)))) |
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c))))) |
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c))))))) |
(* x (+ 1 (* 1/2 x))) |
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(* c (* x (* y (log (E))))) |
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E)))))) |
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(* x (* y (log (E)))) |
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(* 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 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 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 (- (exp x) 1)))) |
(* 1/2 (* (pow x 2) (- y (pow y 2)))) |
(* (pow x 2) (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(* 1/2 (* x (- y (pow y 2)))) |
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x))) |
(- (exp x) 1) |
(log (+ 1 (* y (- (pow (E) x) 1)))) |
(* y (- (pow (E) x) 1)) |
(- (pow (E) x) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 2)) |
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(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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)))))))) |
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(* 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 (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3)))))))) |
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3))))))))) |
(* y (- (exp x) 1)) |
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1)) |
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1)) |
(* x (* y (+ 1 (* 1/2 x)))) |
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x))))) |
(* y (+ 1 (* 1/2 x))) |
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ 1 (* -1 y))) |
(* -1 (pow y 2)) |
(* -1 y) |
(* c (* y (- (pow (E) x) 1))) |
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1)))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3)))))))) |
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3))))))))) |
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1)) |
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1)) |
(* c (+ (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 (- (exp x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))) |
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2)))) |
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2))))) |
(* -1/2 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) |
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))) |
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))) |
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) |
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))) |
(* c (+ (log (* -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 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(* 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)))) |
| 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) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) c) |
c |
(* c (log (+ 1 (* y (- (exp x) 1))))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(* c (* y (- (exp x) 1))) |
(*.f64 (*.f64 (expm1.f64 x) y) c) |
(* c (- (exp x) 1)) |
(*.f64 (expm1.f64 x) 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) |
(* 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 #s(literal 1/6 binary64) c) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) y) #s(literal -6 binary64) (fma.f64 (-.f64 y (*.f64 #s(literal 5/6 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 (+ (* 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 #s(literal -24 binary64) y) (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (-.f64 (*.f64 y #s(literal 47/24 binary64)) y) (fma.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64))))) x) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) y) #s(literal -6 binary64) (fma.f64 (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) c) #s(literal 1/6 binary64))) x (*.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))))) x (*.f64 c y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) y) x) |
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) y) #s(literal -6 binary64) (fma.f64 (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -24 binary64) y) (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64)) #s(literal -12 binary64) (fma.f64 #s(literal 24 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 y y) (-.f64 (-.f64 (*.f64 y #s(literal 47/24 binary64)) y) (fma.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64))))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) y) #s(literal -6 binary64) (fma.f64 (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) #s(literal 6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) x (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x y) x) |
(* x (+ y (* x (- (* 3/2 y) y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) x y) x) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 y (*.f64 #s(literal 5/6 binary64) y)) x (*.f64 #s(literal 3/2 binary64) y)) y) x y) x) |
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 y (fma.f64 (-.f64 (-.f64 (*.f64 y #s(literal 47/24 binary64)) y) (fma.f64 #s(literal 5/6 binary64) (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) (*.f64 #s(literal 1/2 binary64) y))) x (*.f64 #s(literal -5/6 binary64) y))) x (*.f64 #s(literal 3/2 binary64) y)) y) x y) x) |
(* 3 (* x y)) |
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(+ (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 #s(literal -1 binary64) (+.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 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) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (expm1.f64 x)))) c) |
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1)))) |
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (expm1.f64 x)))) 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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (expm1.f64 x)))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))) |
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (expm1.f64 x)))) c (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (expm1.f64 x)))) (neg.f64 y))) |
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (expm1.f64 x)))) |
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) 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)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y) (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 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (expm1.f64 x)))) |
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) (*.f64 y y)) |
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) |
(*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) c) |
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1)))) |
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.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 (/ (+ (* -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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) 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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) c (/.f64 (neg.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))))) (neg.f64 y))) |
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (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 (* y (- (pow (E) x) 1))))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) |
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y)))) |
(fma.f64 #s(literal -1 binary64) (+.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) (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 (/ (- (* 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)))) |
(fma.f64 #s(literal -1 binary64) (+.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)))) y) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 379 |
| 0 | 93 | 371 |
| 1 | 360 | 313 |
| 0 | 2606 | 313 |
| 1× | iter limit |
| 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 |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
#s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) |
(*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) |
#s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (*.f64 (expm1.f64 x) c) y) |
(*.f64 (expm1.f64 x) c) |
(expm1.f64 x) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) |
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) |
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x))) |
(log1p.f64 (*.f64 (expm1.f64 x) y)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (expm1.f64 x) (neg.f64 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)))) |
(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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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))))) |
(*.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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (expm1.f64 (*.f64 #s(literal 3 binary64) 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 #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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (+.f64 (+.f64 (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 (exp.f64 x) (exp.f64 x) (-.f64 (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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) y) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) #s(literal 1 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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
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(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Compiled 20 584 to 3 373 computations (83.6% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 10 | 646 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 641 | 24 | 665 |
| Status | Accuracy | Program |
|---|---|---|
| 32.6% | (*.f64 (/.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)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))))) c) | |
| 72.0% | (*.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) | |
| 91.7% | (*.f64 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c) | |
| ✓ | 91.7% | (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
| ✓ | 61.0% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
| 60.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| 61.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) | |
| 60.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) | |
| 63.9% | (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) | |
| ✓ | 61.1% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
| 21.2% | (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) | |
| ✓ | 53.0% | (*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
| 48.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) | |
| ✓ | 48.0% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
| 50.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) | |
| 50.9% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) | |
| 50.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) | |
| 24.7% | (*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) | |
| ✓ | 37.0% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
| ✓ | 26.9% | (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
| 76.1% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) | |
| ✓ | 76.1% | #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| ✓ | 62.3% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y c) x)) |
| ✓ | 57.8% | #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
Compiled 1 996 to 766 computations (61.6% 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) 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) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) |
(*.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 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) (log1p.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))) (*.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (exp (* x 1)) 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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))))))) c) |
(*.f64 (/.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)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 x)) (-.f64 (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c) |
9 calls:
| 17.0ms | c |
| 14.0ms | y |
| 11.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 11.0ms | x |
| 11.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 1 | (pow.f64 (E.f64) x) |
| 91.7% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 91.7% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 91.7% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 91.7% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 91.7% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 93.9% | 2 | c |
| 91.7% | 1 | x |
| 99.3% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) 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) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) |
(*.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) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 1 binary64))))) 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) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) |
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) x) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
9 calls:
| 10.0ms | c |
| 9.0ms | x |
| 9.0ms | y |
| 9.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 8.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 2 | (pow.f64 (E.f64) x) |
| 81.7% | 2 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 81.2% | 3 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 76.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 76.1% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 76.1% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 82.5% | 2 | x |
| 78.2% | 2 | c |
| 89.7% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))))) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) y)) c) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 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:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 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)) 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 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
(*.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)) 1) (*.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))) c) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)) |
| Outputs |
|---|
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) |
4 calls:
| 7.0ms | x |
| 5.0ms | y |
| 4.0ms | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 4.0ms | (pow.f64 (E.f64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 1 | (pow.f64 (E.f64) x) |
| 76.1% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 76.1% | 1 | x |
| 84.7% | 4 | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) |
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
#s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
| Outputs |
|---|
#s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) |
3 calls:
| 5.0ms | y |
| 5.0ms | c |
| 4.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 1 | c |
| 76.1% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 78.2% | 2 | 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)) 1)))) (*.f64 x y)) c) |
(*.f64 #s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 y x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 #s(approx (* (- y (* y y)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- y (* y y)) (*.f64 (neg.f64 y) y))) x (*.f64 y x))) c) |
(*.f64 #s(approx (log (+ 1 (* y (- (exp (* x 1)) 1)))) (*.f64 #s(approx (+ (* (* (- y (* y y)) x) 1/2) y) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x)) x)) c) |
(*.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:
| 30.0ms | x |
| 4.0ms | y |
| 4.0ms | c |
| 4.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 3.0ms | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 2 | c |
| 62.3% | 1 | x |
| 62.3% | 1 | (pow.f64 (E.f64) x) |
| 62.3% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 62.3% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 62.3% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 62.3% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 62.3% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 62.3% | 1 | y |
Compiled 49 to 59 computations (-20.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
| Outputs |
|---|
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y)) |
9 calls:
| 1.0ms | x |
| 1.0ms | c |
| 1.0ms | y |
| 1.0ms | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 1.0ms | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 1 | x |
| 57.8% | 1 | (pow.f64 (E.f64) x) |
| 57.8% | 1 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) |
| 57.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) |
| 57.8% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) |
| 57.8% | 1 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) |
| 57.8% | 1 | (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) |
| 57.8% | 1 | y |
| 57.8% | 1 | c |
Compiled 49 to 59 computations (-20.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 112.0ms | 237335.3210589968 | 2211353899496826.0 |
| 45.0ms | -3.555627093139034e-123 | -1.463998269526419e-129 |
| 132.0ms | 235× | 1 | valid |
| 5.0ms | 64× | 0 | invalid |
| 5.0ms | 69× | 0 | valid |
Compiled 1 048 to 756 computations (27.9% saved)
ival-pow: 62.0ms (47.9% of total)ival-sub: 30.0ms (23.2% of total)ival-e: 15.0ms (11.6% of total)adjust: 9.0ms (6.9% of total)ival-mult: 9.0ms (6.9% of total)ival-log1p: 4.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 2.1523366626085928e-21 | 1.0439569692807492e-20 |
| 1.0ms | -3.555627093139034e-123 | -1.463998269526419e-129 |
| 35.0ms | 67× | 1 | valid |
| 2.0ms | 29× | 0 | valid |
Compiled 570 to 466 computations (18.2% saved)
ival-pow: 22.0ms (70.1% of total)ival-e: 4.0ms (12.7% of total)adjust: 2.0ms (6.4% of total)ival-mult: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-log1p: 1.0ms (3.2% 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 |
|---|---|---|
| 4.0ms | 6.271403599784942e-91 | 6.579234599328882e-91 |
| 66.0ms | -4.285165549150148e-12 | -3.0800078268963657e-13 |
| 62.0ms | 71× | 1 | valid |
| 3.0ms | 41× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 204 to 184 computations (9.8% saved)
ival-pow: 50.0ms (82% of total)ival-e: 4.0ms (6.6% of total)adjust: 2.0ms (3.3% of total)ival-mult: 2.0ms (3.3% of total)ival-sub: 1.0ms (1.6% of total)ival-log1p: 1.0ms (1.6% 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 |
|---|---|---|
| 100.0ms | 237335.3210589968 | 2211353899496826.0 |
| 61.0ms | -320.8885175372516 | -15.29892272320801 |
| 142.0ms | 188× | 1 | valid |
| 4.0ms | 53× | 0 | invalid |
| 3.0ms | 36× | 0 | valid |
Compiled 683 to 586 computations (14.2% saved)
ival-pow: 68.0ms (50.6% of total)ival-log1p: 42.0ms (31.3% of total)ival-e: 10.0ms (7.4% of total)ival-mult: 6.0ms (4.5% of total)adjust: 5.0ms (3.7% of total)ival-sub: 3.0ms (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 |
|---|---|---|
| 1.0ms | 237335.3210589968 | 2211353899496826.0 |
| 1.0ms | -320.8885175372516 | -15.29892272320801 |
Compiled 663 to 566 computations (14.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 237335.3210589968 | 2211353899496826.0 |
| 1.0ms | -320.8885175372516 | -15.29892272320801 |
Compiled 633 to 546 computations (13.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 237335.3210589968 | 2211353899496826.0 |
| 1.0ms | -320.8885175372516 | -15.29892272320801 |
Compiled 593 to 526 computations (11.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 114.0ms | 8.430725584598615e+218 | 3.8761512081451153e+220 |
| 78.0ms | 6.964421069648043e+73 | 7.586813504280986e+79 |
| 85.0ms | -4.943370273682087e+154 | -4.254850181826396e+153 |
| 195.0ms | 317× | 1 | valid |
| 46.0ms | 64× | 1 | invalid |
| 12.0ms | 146× | 0 | invalid |
| 3.0ms | 35× | 0 | valid |
Compiled 792 to 675 computations (14.8% saved)
ival-pow: 170.0ms (72.5% of total)ival-e: 26.0ms (11.1% of total)ival-log1p: 11.0ms (4.7% of total)adjust: 10.0ms (4.3% of total)ival-mult: 10.0ms (4.3% of total)ival-sub: 5.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.964421069648043e+73 | 7.586813504280986e+79 |
Compiled 339 to 286 computations (15.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 6.5287323689997215e+35 | 2.4061323769307905e+39 |
| 38.0ms | 89× | 1 | valid |
| 3.0ms | 39× | 0 | valid |
Compiled 303 to 256 computations (15.5% saved)
ival-pow: 20.0ms (55.1% of total)ival-e: 5.0ms (13.8% of total)ival-sub: 4.0ms (11% of total)adjust: 2.0ms (5.5% of total)ival-mult: 2.0ms (5.5% of total)ival-log1p: 2.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 552 |
| 1 | 187 | 540 |
| 2 | 234 | 540 |
| 3 | 369 | 540 |
| 4 | 1201 | 540 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 530000000000 binary64)) #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) (*.f64 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c))) |
(if (<=.f64 y #s(literal -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 7310753976817037/1329227995784915872903807060280344576 binary64)) #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (<=.f64 y #s(literal -6338253001141147/19807040628566084398385987584 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 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 -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c))) |
(if (<=.f64 y #s(literal -11600000000000000071335760215698729032575010549505529878728621515464057655284712031503332313760926386548528387448122149658636303973553370947486190743322624 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 70000000000000000381634209493962996821110917486709198278458040512975732736 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (if (<=.f64 y #s(literal 1119999999999999935812233001174828470531003691124830328077742099589779447251850102639700159170878322787099594276650869634181809484103756076585115579048395151514998502825539181419968347356541039015593874213867625065218048 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) (*.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 70000000000000000381634209493962996821110917486709198278458040512975732736 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))) |
(if (<=.f64 c #s(literal 399999999999999990995239293824136118272 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 -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 530000000000 binary64)) #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) (*.f64 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c))) |
(if (<=.f64 y #s(literal -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 530000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) (*.f64 (log1p.f64 (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) c))) |
(if (<=.f64 y #s(literal -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 7310753976817037/1329227995784915872903807060280344576 binary64)) #s(approx (* (log (+ 1 (* (- (exp x) 1) y))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (or (<=.f64 y #s(literal -8931394244144417/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (not (<=.f64 y #s(literal 7310753976817037/1329227995784915872903807060280344576 binary64)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) y))) |
(if (<=.f64 y #s(literal -6338253001141147/19807040628566084398385987584 binary64)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) (if (<=.f64 y #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c))) |
(if (or (<=.f64 y #s(literal -6338253001141147/19807040628566084398385987584 binary64)) (not (<=.f64 y #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)))) (*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 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 -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #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))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp (* x 1)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))) |
(if (<=.f64 y #s(literal -150 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c) (if (<=.f64 y #s(literal 25000000000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 #s(literal 1 binary64) x)) y)) c))) |
(if (or (<=.f64 y #s(literal -150 binary64)) (not (<=.f64 y #s(literal 25000000000 binary64)))) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))) |
(if (<=.f64 y #s(literal -11600000000000000071335760215698729032575010549505529878728621515464057655284712031503332313760926386548528387448122149658636303973553370947486190743322624 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 70000000000000000381634209493962996821110917486709198278458040512975732736 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (if (<=.f64 y #s(literal 1119999999999999935812233001174828470531003691124830328077742099589779447251850102639700159170878322787099594276650869634181809484103756076585115579048395151514998502825539181419968347356541039015593874213867625065218048 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) (*.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 70000000000000000381634209493962996821110917486709198278458040512975732736 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))) |
(if (<=.f64 c #s(literal 399999999999999990995239293824136118272 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 399999999999999990995239293824136118272 binary64)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 1)))) c) (*.f64 (*.f64 y c) x)) #s(approx (* (log (+ 1 (* y (- (exp (* x 1)) 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)) 1)))) c) (*.f64 (*.f64 c x) y)) |
| 1× | fuel |
Compiled 575 to 136 computations (76.3% saved)
(negabs c)
Compiled 1 536 to 496 computations (67.7% saved)
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