
Time bar (total: 4.3s)
| 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)
| 680.0ms | 8 256× | 0 | valid |
| 244.0ms | 2 672× | 1 | exit |
ival-exp: 206.0ms (36% of total)ival-log1p: 138.0ms (24.1% of total)ival-mult!: 131.0ms (22.9% of total)adjust: 72.0ms (12.6% of total)ival-sub!: 25.0ms (4.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 4 | 75 | (-1.2590809412045418e+161 -1.0096599218503524e-59) | 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 | 76 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | oflow-rescue | 3 | 0 |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 4 | 0 |
| - | 75 | 177 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 0 |
| - | 75 | 0 | 177 |
| number | freq |
|---|---|
| 0 | 177 |
| 1 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-log1p: 5.0ms (33.9% of total)ival-exp: 4.0ms (27.1% of total)ival-mult!: 3.0ms (20.3% of total)ival-sub!: 1.0ms (6.8% of total)ival-add!: 1.0ms (6.8% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 60 |
| 1 | 54 | 58 |
| 2 | 130 | 58 |
| 3 | 294 | 58 |
| 4 | 1178 | 58 |
| 5 | 5705 | 58 |
| 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 |
|---|---|---|
| ▶ | 98.5% | (-.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 | |
|---|---|---|---|---|
| 191.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 52.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y) |
| 4.0ms | 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) |
| 2.0ms | 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 | 102 | 433 |
| 0 | 108 | 424 |
| 1 | 562 | 422 |
| 0 | 4885 | 350 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
#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 |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) |
(/.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))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (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 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x))) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (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 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y 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 (neg.f64 x) y) #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 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 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 #s(literal 2 binary64) 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 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) |
(/.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))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.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 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)) (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 (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))) (log.f64 #s(literal 2 binary64))) |
#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))) (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))) (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(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) 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)) (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(literal 1 binary64)) |
#s(approx (exp x) (-.f64 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))) |
#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 x) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx y y) |
#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)) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 y)) x) (neg.f64 y))) |
Compiled 1 389 to 326 computations (76.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 10 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 10 | 93 |
| Status | Accuracy | Program |
|---|---|---|
| 71.0% | (-.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))))) | |
| ▶ | 69.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
| ▶ | 89.2% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 75.1% | #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)))) |
| 78.0% | #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)))) | |
| 83.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 98.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
| ▶ | 48.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| 51.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 374 to 264 computations (29.4% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.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) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#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) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (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 (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#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 (+ 2 x) #s(hole binary64 2)) |
#s(approx (+ 2 x) #s(hole binary64 (+ 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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 2 x) #s(hole binary64 x)) |
#s(approx (+ 2 x) #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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x 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 (- (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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx y #s(hole 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)) #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 (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp 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)) #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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (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 (- 1/2 y) 1/2 (log 2)) |
| 18.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (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 (- 1/2 y) 1/2 (log 2)) |
| 17.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (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 (- 1/2 y) 1/2 (log 2)) |
| 11.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (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 (- 1/2 y) 1/2 (log 2)) |
| 10.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (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 (- 1/2 y) 1/2 (log 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 2034 |
| 0 | 355 | 1922 |
| 1 | 1757 | 1903 |
| 0 | 9057 | 1850 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.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) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#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) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#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))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (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 (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#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 (+ 2 x) #s(hole binary64 2)) |
#s(approx (+ 2 x) #s(hole binary64 (+ 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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 2 x) #s(hole binary64 x)) |
#s(approx (+ 2 x) #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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x 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 (- (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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx y #s(hole 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)) #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 (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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 (- (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))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp 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)) #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))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (neg.f64 y)) |
(/.f64 (log1p.f64 (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 y (neg.f64 x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
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#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 (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 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))) |
#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 x) |
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) 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)) (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) (*.f64 y x)) |
#s(approx (+ 2 x) #s(literal 2 binary64)) |
#s(approx (+ 2 x) (+.f64 #s(literal 2 binary64) x)) |
#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)) (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)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #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)) (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)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) 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(literal 1/8 binary64)) |
#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) (*.f64 x x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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))) y) x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (neg.f64 x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
#s(approx (+ 2 x) x) |
#s(approx (+ 2 x) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)) |
#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)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 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)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 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)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#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) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal -1 binary64) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) (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)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y)) |
#s(approx y 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 #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)) (+.f64 (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 (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64)))) |
#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 #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) |
#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))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#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)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (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))) y)) 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)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#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)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (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))) y) #s(literal -1 binary64) x))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
Compiled 8 786 to 1 144 computations (87% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 7 | 277 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 275 | 12 | 287 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x)))))) | |
| ✓ | 69.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
| 8.5% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.f64 x y)) | |
| 56.6% | #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)))) | |
| 78.0% | #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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 83.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
| ▶ | 82.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
| ✓ | 48.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ▶ | 51.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 569 to 356 computations (37.4% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)))) |
(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) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y) |
(-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) |
(/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) |
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y) |
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) |
(/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #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 #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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (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 (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 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 (+ (* (+ (* (+ (* (* 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 (+ (* (- 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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#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 (neg y) #s(hole binary64 (* -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) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) 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) 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))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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)))))) |
#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) 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))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | 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)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2))) |
| 14.0ms | 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)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2))) |
| 10.0ms | 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)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2))) |
| 10.0ms | 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)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2))) |
| 9.0ms | 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)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 2367 |
| 0 | 351 | 2256 |
| 1 | 1879 | 2239 |
| 0 | 9715 | 1958 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)))) |
(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) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y) |
(-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) |
(/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) |
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y) |
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) |
(/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
#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 #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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (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 (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 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 (+ (* (+ (* (+ (* (* 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 (+ (* (- 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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#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 (neg y) #s(hole binary64 (* -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) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) 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) 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))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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)))))) |
#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) 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))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 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 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
y |
x |
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.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)))) (neg.f64 (-.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 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (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 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (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 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 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 (-.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 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (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 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (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 2 binary64)) (*.f64 (*.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))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (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 (/.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 x) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (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 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (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 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (+.f64 (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 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 3 binary64)) (+.f64 (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 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #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 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))) |
(/.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))) (+.f64 #s(literal 1/4 binary64) (fma.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) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y) |
(*.f64 y (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x))))) |
(-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (neg.f64 y)) |
(/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) |
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))))) |
(log.f64 (+.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y) |
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x))))) |
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #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(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #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(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #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(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (log.f64 #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) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #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(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #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 (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)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#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)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #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)) (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)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) 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) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#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))) y) x) y) (log.f64 #s(literal 2 binary64))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (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))) y)) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#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))) (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))) (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 (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 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))) |
#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 (+ (* 1/2 x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 x) (log 2)) (fma.f64 #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)) |
#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)) (*.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)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 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)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 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)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#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 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (neg.f64 x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) (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)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal -1 binary64) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#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)) (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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.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 (+ (* (+ (* (* 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 #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y y) |
#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)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y)) |
#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)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (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))) y)) 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)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#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))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (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))) y) #s(literal -1 binary64) x))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
Compiled 7 458 to 920 computations (87.7% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 3 | 220 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 219 | 13 | 232 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x)))))) | |
| ✓ | 69.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
| ▶ | 56.6% | #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)))) |
| ▶ | 78.0% | #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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 52.0% | #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)))) |
| ✓ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
| ✓ | 82.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
| ▶ | 33.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y)) |
| ✓ | 48.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ✓ | 51.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 33.8% | #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 565 to 350 computations (38.1% 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 (-.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) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y)) |
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y) |
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) |
(/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) |
#s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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))) |
#s(approx (- 1/2 y) #s(literal 1/2 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
#s(literal -1/192 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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) 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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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)))))) |
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (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) |
| 13.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (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) |
| 12.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (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) |
| 11.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (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) |
| 11.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 2534 |
| 0 | 361 | 2413 |
| 1 | 1877 | 2394 |
| 0 | 9587 | 2131 |
| 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 (-.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) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y)) |
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y) |
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) |
(/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) |
#s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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))) |
#s(approx (- 1/2 y) #s(literal 1/2 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) 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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
#s(literal -1/192 binary64) |
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 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 (+ (* 1/2 x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 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))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#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))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* 1/2 x) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))))) |
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) 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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (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)))))) |
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
| 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 3 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 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 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 (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 (+.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 (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 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))) (+.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 (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)))))) |
(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 (/.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)) (+.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 (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 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 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 (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 (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 (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 (-.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #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 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.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 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.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)))) (/.f64 (pow.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.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))))) |
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(+.f64 (*.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))) |
(+.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 x x)) (*.f64 #s(literal 1/192 binary64) (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x)))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) |
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(fma.f64 (*.f64 x 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 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) |
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(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x))) |
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(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal -1/192 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #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)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #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 (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)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#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)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #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)) (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)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) |
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#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#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(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#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) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log.f64 #s(literal 2 binary64))) |
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#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
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#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (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))) y)) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#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))) (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))) (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 (+ (* 1/2 x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 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)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 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)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#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) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 x x))) |
#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 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) y)) |
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#s(approx (- (/ (log (+ 1 (exp x))) y) x) (neg.f64 x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x)) |
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#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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal -1 binary64) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#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)) (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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.f64 (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 (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64)))) |
#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 #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) |
#s(approx y y) |
#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)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y)) |
#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)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (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))) y)) 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)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)) |
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (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))) y) #s(literal -1 binary64) x))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) |
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x))) |
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
Compiled 10 299 to 1 094 computations (89.4% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 2 | 278 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 276 | 15 | 291 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x)))))) | |
| ✓ | 69.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
| ✓ | 56.6% | #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)))) |
| ✓ | 78.0% | #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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 52.0% | #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)))) |
| ✓ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
| ✓ | 89.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)) |
| ✓ | 82.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) x) y)) |
| ✓ | 33.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) y)) |
| ✓ | 48.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 52.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ✓ | 51.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| 19.1% | #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))) | |
| ✓ | 33.8% | #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))) |
| 3.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
Compiled 957 to 394 computations (58.8% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.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)))) |
#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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) 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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 y 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))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
3 calls:
| 7.0ms | x |
| 6.0ms | y |
| 6.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.8% | 1 | x |
| 98.8% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.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)))) |
#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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) 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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(-.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:
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.5% | 1 | x |
| 98.5% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.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)))) |
#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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) 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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) y) 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| 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)))) |
3 calls:
| 6.0ms | x |
| 5.0ms | y |
| 5.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 98.6% | 2 | x |
| 89.2% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y)) |
| 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:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.f64 x y)) |
| 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 (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (log.f64 #s(literal 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)))) |
| 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:
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 82.6% | 3 | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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)) (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)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
1 calls:
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #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)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) y) x) 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))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 3.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.9% | 1 | x |
| 48.9% | 1 | y |
| 48.9% | 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)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.6% | 1 | x |
| 3.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.6% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -2532.52535618997 | -249.6385492411585 |
| 36.0ms | 96× | 0 | valid |
Compiled 216 to 185 computations (14.4% saved)
ival-exp: 32.0ms (96.3% of total)ival-log1p: 1.0ms (3% of total)ival-mult!: 1.0ms (3% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -249.6385492411585 | -0.000653557560593012 |
| 8.0ms | 144× | 0 | valid |
Compiled 291 to 254 computations (12.7% saved)
ival-exp: 2.0ms (45.8% of total)ival-log1p: 2.0ms (45.8% of total)ival-mult!: 1.0ms (22.9% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2532.52535618997 | -249.6385492411585 |
Compiled 276 to 227 computations (17.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7095200813899347 | 3682860.675369179 |
| 0.0ms | 9.534778467306077e-53 | 0.6929249189450966 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7095200813899347 | 3682860.675369179 |
| 0.0ms | 9.534778467306077e-53 | 0.6929249189450966 |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 300 |
| 1 | 106 | 300 |
| 2 | 186 | 300 |
| 3 | 445 | 300 |
| 4 | 1191 | 300 |
| 5 | 6207 | 300 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -250 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 -6124895493223875/4503599627370496 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 -250 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 (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -250 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 -6124895493223875/4503599627370496 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 -250 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 (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
| 1× | fuel |
Compiled 300 to 71 computations (76.3% saved)
Compiled 670 to 194 computations (71% saved)
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