
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.6s | 2 686× | 5 | exit |
| 623.0ms | 8 256× | 0 | valid |
ival-log1p: 970.0ms (53.6% of total)adjust: 316.0ms (17.4% of total)ival-exp: 251.0ms (13.9% of total)ival-mult: 148.0ms (8.2% of total)ival-sub: 114.0ms (6.3% of total)ival-true: 8.0ms (0.4% of total)ival-assert: 5.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 92 | (-1.405773080190168e+212 2.0251657671249204e+58) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | sensitivity | 92 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | oflow-rescue | 1 | 0 |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 92 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 92 | 0 | 163 |
| number | freq |
|---|---|
| 0 | 163 |
| 1 | 93 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-exp: 4.0ms (22.5% of total)ival-mult: 4.0ms (22.5% of total)ival-log1p: 4.0ms (22.5% of total)ival-add: 2.0ms (11.2% of total)ival-sub: 2.0ms (11.2% of total)adjust: 0.0ms (0% 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 | 22 | 51 |
| 1 | 52 | 49 |
| 2 | 123 | 49 |
| 3 | 285 | 49 |
| 4 | 1170 | 49 |
| 5 | 5694 | 49 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 23 | 9 |
| 2 | 46 | 9 |
| 3 | 97 | 9 |
| 4 | 316 | 9 |
| 5 | 2915 | 9 |
| 0 | 8106 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 26.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 3.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 2.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 1.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 392 |
| 1 | 244 | 392 |
| 2 | 705 | 392 |
| 3 | 2246 | 392 |
| 4 | 5575 | 392 |
| 0 | 8531 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ 1 (exp 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 2 binary64))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp 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(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 13 | 26 |
| 1 | 49 | 26 |
| 0 | 364 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log1p.f64 (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y)) |
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 x) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
Compiled 1 190 to 295 computations (75.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 8 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 71 | 9 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ▶ | 77.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
| ▶ | 87.4% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 70.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| 73.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 78.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 54.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ▶ | 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| 45.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 267 to 220 computations (17.6% saved)
| Inputs |
|---|
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x)) |
| 8.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x)) |
| 4.0ms | x | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x)) |
| 3.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x)) |
| 3.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 746 |
| 1 | 426 | 741 |
| 2 | 1239 | 741 |
| 3 | 5142 | 741 |
| 0 | 8115 | 633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ 1 (exp 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 2 binary64))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp 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(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 146 |
| 0 | 47 | 146 |
| 1 | 162 | 146 |
| 0 | 1172 | 146 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 y x) |
(*.f64 x y) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 y x)) |
(neg.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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 #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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.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)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.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 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 x) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 4 274 to 649 computations (84.8% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 7 | 190 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 188 | 11 | 199 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.4% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| ▶ | 70.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| 73.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| 46.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) | |
| ✓ | 54.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| ▶ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 45.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
| 45.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) | |
| 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
Compiled 361 to 288 computations (20.2% saved)
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
x |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
(log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y)))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (log 2)) |
| 12.0ms | x | @ | -inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (log 2)) |
| 4.0ms | y | @ | 0 | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (log 2)) |
| 3.0ms | y | @ | -inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (log 2)) |
| 3.0ms | y | @ | inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (log 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 1945 |
| 1 | 825 | 1918 |
| 2 | 2630 | 1887 |
| 0 | 8599 | 1637 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y)))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
| Outputs |
|---|
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y)))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ 1 (exp 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 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp 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(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 y) x)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) x)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) y (neg.f64 y))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) y (neg.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 228 |
| 0 | 63 | 228 |
| 1 | 250 | 228 |
| 0 | 1990 | 218 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
x |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
(log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
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(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) |
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)) |
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/192 binary64) x) #s(literal 1/8 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))) |
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/192 binary64))) |
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/192 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))) |
(+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(log.f64 #s(literal 2 binary64)) |
Compiled 8 401 to 1 153 computations (86.3% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 8 | 287 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 282 | 16 | 298 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.4% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| 49.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 73.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 46.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 54.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| ✓ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 45.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
| 45.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) | |
| 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 20.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
| 21.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) | |
| ✓ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
| ▶ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
| ▶ | 3.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| 34.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
Compiled 620 to 473 computations (23.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(-.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* x (- 1/4 (pow y 2))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 1/2)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ (+ 1/2 (* -1 y)) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (+ (* -1 (* x (pow y 2))) (* 1/4 x)))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 1/4)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (+ 1/4 (* -1 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* (pow y 2) (- (* 1/4 (/ 1 (pow y 2))) 1)))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (- (/ 1/2 y) 1) y) (- (/ 1/2 y) 1) (/ 1/2 y) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (* (- 1/4 (* y y)) x) (- 1/4 (* y y)) 1/4 (* y y) (+ 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2))) |
| 5.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (- (/ 1/2 y) 1) y) (- (/ 1/2 y) 1) (/ 1/2 y) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (* (- 1/4 (* y y)) x) (- 1/4 (* y y)) 1/4 (* y y) (+ 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2))) |
| 5.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (- (/ 1/2 y) 1) y) (- (/ 1/2 y) 1) (/ 1/2 y) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (* (- 1/4 (* y y)) x) (- 1/4 (* y y)) 1/4 (* y y) (+ 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2))) |
| 5.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (- (/ 1/2 y) 1) y) (- (/ 1/2 y) 1) (/ 1/2 y) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (* (- 1/4 (* y y)) x) (- 1/4 (* y y)) 1/4 (* y y) (+ 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2))) |
| 5.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (- (/ 1/2 y) 1) y) (- (/ 1/2 y) 1) (/ 1/2 y) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (* (- 1/4 (* y y)) x) (- 1/4 (* y y)) 1/4 (* y y) (+ 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1728 |
| 1 | 692 | 1707 |
| 2 | 2201 | 1686 |
| 0 | 8898 | 1527 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* x (- 1/4 (pow y 2))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 1/2)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ (+ 1/2 (* -1 y)) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (+ (* -1 (* x (pow y 2))) (* 1/4 x)))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 1/4)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (+ 1/4 (* -1 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* (pow y 2) (- (* 1/4 (/ 1 (pow y 2))) 1)))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (/.f64 x (-.f64 y #s(literal -1/2 binary64))) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* x (- 1/4 (pow y 2))))) |
#s(approx (* (- 1/4 (* y y)) x) (*.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 y) 1) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (/ (+ 1/2 (* -1 y)) y))) |
#s(approx (- (/ 1/2 y) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (+ (* -1 (* x (pow y 2))) (* 1/4 x)))) |
#s(approx (* (- 1/4 (* y y)) x) (*.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) x)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 1/4)) |
#s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (+ 1/4 (* -1 (pow y 2))))) |
#s(approx (- 1/4 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) (/.f64 x y) #s(literal -1 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1/2 y) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1/2 y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1))) |
#s(approx (- (/ 1/2 y) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1/4 (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y))) |
#s(approx (* (- 1/4 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))))) |
#s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- 1/4 (* y y)) #s(hole binary64 (* (pow y 2) (- (* 1/4 (/ 1 (pow y 2))) 1)))) |
#s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) y) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) (/.f64 x y) #s(literal -1 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)) |
#s(approx (* (- (/ 1/2 y) 1) y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 335 |
| 0 | 63 | 335 |
| 1 | 232 | 317 |
| 0 | 1755 | 297 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(-.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)))) |
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(+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)) (-.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (-.f64 #s(literal 1/2 binary64) (fabs.f64 y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) |
(fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) |
(fma.f64 y (neg.f64 y) #s(literal 1/4 binary64)) |
(-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 y y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(-.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
(+.f64 (*.f64 (neg.f64 y) y) #s(literal 1/4 binary64)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) y) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
Compiled 9 848 to 1 193 computations (87.9% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 10 | 276 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 268 | 24 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.4% | (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| 49.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| ✓ | 46.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 54.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| ✓ | 49.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 45.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
| 45.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) | |
| 46.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) | |
| 15.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) | |
| 20.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) | |
| 6.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) | |
| 19.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) | |
| 20.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) | |
| 3.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) | |
| 24.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) | |
| 21.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) | |
| 21.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) | |
| ✓ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
| ✓ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
| ✓ | 3.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| 34.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) | |
| 34.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
Compiled 1 494 to 672 computations (55% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
3 calls:
| 12.0ms | x |
| 9.0ms | y |
| 8.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
3 calls:
| 16.0ms | x |
| 8.0ms | y |
| 8.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.5% | 2 | x |
| 87.4% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
2 calls:
| 8.0ms | x |
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 82.5% | 2 | x |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
1 calls:
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
1 calls:
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (/ (* (- 1/4 (* y y)) x) (+ 1/2 y)) (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) y)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) #s(approx (+ 1/2 y) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (neg.f64 y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 #s(approx (- 1/4 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)) (+.f64 #s(literal 1/2 binary64) y)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | x |
| 54.7% | 1 | y |
| 54.7% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
3 calls:
| 5.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.7% | 1 | x |
| 3.7% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.7% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -3585.588621465613 | -0.11360969277561803 |
| 7.0ms | 128× | 0 | valid |
Compiled 324 to 267 computations (17.6% saved)
ival-sub: 1.0ms (24.2% of total)ival-exp: 1.0ms (24.2% of total)ival-log1p: 1.0ms (24.2% of total)ival-mult: 1.0ms (24.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -3585.588621465613 | -0.11360969277561803 |
| 4.0ms | 80× | 0 | valid |
Compiled 284 to 243 computations (14.4% saved)
ival-exp: 1.0ms (42.4% of total)ival-log1p: 1.0ms (42.4% of total)ival-mult: 1.0ms (42.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -3585.588621465613 | -0.11360969277561803 |
| 5.0ms | 96× | 0 | valid |
Compiled 260 to 227 computations (12.7% saved)
ival-exp: 1.0ms (32.1% of total)ival-log1p: 1.0ms (32.1% of total)ival-mult: 1.0ms (32.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3585.588621465613 | -0.11360969277561803 |
Compiled 212 to 195 computations (8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3585.588621465613 | -0.11360969277561803 |
Compiled 212 to 195 computations (8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7361254536060712 | 1880.7428837149125 |
| 0.0ms | 3.3822339920931107e-5 | 0.6931466139016773 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7361254536060712 | 1880.7428837149125 |
| 0.0ms | 3.3822339920931107e-5 | 0.6931466139016773 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7361254536060712 | 1880.7428837149125 |
| 0.0ms | 3.3822339920931107e-5 | 0.6931466139016773 |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 388 |
| 1 | 106 | 388 |
| 2 | 142 | 388 |
| 3 | 220 | 388 |
| 4 | 582 | 388 |
| 5 | 5091 | 388 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -19 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -19 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| 1× | fuel |
Compiled 388 to 77 computations (80.2% saved)
Compiled 846 to 206 computations (75.7% saved)
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