
Time bar (total: 6.0s)
| 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)
| 524.0ms | 8 256× | 0 | valid |
| 256.0ms | 2 652× | 1 | exit |
ival-log1p: 149.0ms (34.4% of total)ival-exp: 92.0ms (21.3% of total)ival-mult: 82.0ms (19% of total)ival-sub: 55.0ms (12.7% of total)adjust: 43.0ms (9.9% of total)ival-true: 8.0ms (1.8% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 4 | 76 | (-7.702477418800886e+43 -3.4022250563849685e-284) | 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 | 77 | 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 |
| - | 76 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 0 |
| - | 76 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 176 |
| 1 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-log1p: 6.0ms (31.2% of total)ival-exp: 4.0ms (20.8% of total)ival-mult: 4.0ms (20.8% of total)ival-sub: 2.0ms (10.4% of total)ival-add: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 51 |
| 1 | 58 | 49 |
| 2 | 121 | 49 |
| 3 | 235 | 49 |
| 4 | 322 | 49 |
| 5 | 446 | 49 |
| 6 | 502 | 49 |
| 7 | 547 | 49 |
| 8 | 551 | 49 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 33 | 9 |
| 3 | 45 | 9 |
| 4 | 60 | 9 |
| 5 | 84 | 9 |
| 6 | 123 | 9 |
| 7 | 163 | 9 |
| 8 | 213 | 9 |
| 9 | 240 | 9 |
| 10 | 264 | 9 |
| 11 | 273 | 9 |
| 0 | 273 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 98.4% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) | |
| cost-diff | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 13 | 26 |
| 1 | 22 | 26 |
| 2 | 33 | 26 |
| 3 | 45 | 26 |
| 4 | 60 | 26 |
| 5 | 84 | 26 |
| 6 | 123 | 26 |
| 7 | 163 | 26 |
| 8 | 213 | 26 |
| 9 | 240 | 26 |
| 10 | 264 | 26 |
| 11 | 273 | 26 |
| 0 | 273 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 0.9872907798436938 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 16.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-log1p: 3.0ms (32.4% of total)ival-exp: 2.0ms (21.6% of total)ival-mult: 2.0ms (21.6% of total)ival-sub: 1.0ms (10.8% of total)ival-add: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
(*.f64 x y) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* x y) |
(log (+ 1 (exp x))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y)) |
| 24.0ms | y | @ | inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y)) |
| 21.0ms | x | @ | -inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y)) |
| 3.0ms | y | @ | 0 | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y)) |
| 2.0ms | y | @ | -inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 197 |
| 1 | 180 | 197 |
| 2 | 399 | 197 |
| 3 | 1386 | 197 |
| 4 | 4230 | 187 |
| 5 | 7018 | 187 |
| 0 | 8031 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* x y) |
(log (+ 1 (exp x))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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))) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) 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))) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(-.f64 x #s(literal -2 binary64)) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)) |
(* x y) |
(*.f64 y x) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 13 | 23 |
| 1 | 47 | 23 |
| 2 | 311 | 23 |
| 3 | 2719 | 23 |
| 0 | 9082 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) |
(log1p.f64 (exp.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))) |
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.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 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
Compiled 13 339 to 1 491 computations (88.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 7 | 389 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 383 | 7 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| ▶ | 92.5% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 77.9% | (*.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 77.2% | #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)))) | |
| ▶ | 79.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 86.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
Compiled 236 to 182 computations (22.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 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)))) | |
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 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)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 141 |
| 0 | 44 | 141 |
| 1 | 71 | 141 |
| 2 | 99 | 141 |
| 3 | 195 | 141 |
| 4 | 329 | 141 |
| 5 | 568 | 141 |
| 6 | 954 | 141 |
| 7 | 1626 | 141 |
| 8 | 1984 | 141 |
| 9 | 2134 | 141 |
| 10 | 2134 | 141 |
| 0 | 2134 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
y |
x |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
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) |
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)))) |
(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) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#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)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#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) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
y |
x |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#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)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| accuracy | 13.029116192191115 | #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)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) | |
| accuracy | 8.895573244637466 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.9872907798436938 | (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) | |
| accuracy | 17.4987814650609 | #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 33.76362224576127 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.7339470711264872 | (log1p.f64 (exp.f64 x)) |
| 43.0ms | 256× | 0 | valid |
Compiled 128 to 24 computations (81.3% saved)
ival-mult: 8.0ms (31.6% of total)ival-add: 5.0ms (19.7% of total)ival-sub: 3.0ms (11.8% of total)ival-log: 3.0ms (11.8% of total)ival-log1p: 3.0ms (11.8% of total)ival-exp: 2.0ms (7.9% of total)ival-neg: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) 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)) |
(*.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)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
(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)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(* -1 (* x y)) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* x y) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(log (+ 1 (exp x))) |
(exp x) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(+ 1 (exp x)) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* -1 y) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y))) |
| 9.0ms | x | @ | inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y))) |
| 8.0ms | x | @ | -inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y))) |
| 5.0ms | x | @ | 0 | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y))) |
| 3.0ms | y | @ | inf | ((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 485 |
| 1 | 494 | 483 |
| 2 | 1333 | 483 |
| 3 | 4978 | 457 |
| 0 | 8390 | 386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(* -1 (* x y)) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* x y) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(log (+ 1 (exp x))) |
(exp x) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(+ 1 (exp x)) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* -1 y) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)) |
(* x y) |
(*.f64 x y) |
(- 1/2 y) |
(-.f64 #s(literal 1/2 binary64) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(* x (- 1/2 y)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 y) |
(neg.f64 y) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 y)) |
(-.f64 #s(literal 1/2 binary64) y) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(-.f64 #s(literal 1/2 binary64) y) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) y (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(-.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 118 |
| 0 | 44 | 118 |
| 1 | 163 | 118 |
| 2 | 1197 | 118 |
| 0 | 8292 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) 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)) |
(*.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)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
(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)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #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 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 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(literal 1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64))) (neg.f64 y)) |
(fma.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))) (neg.f64 y)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal -1/2 binary64) (neg.f64 y))))) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 y y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y))) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) |
(-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 #s(literal 1/8 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)))) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 y)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 y (*.f64 #s(literal 1/8 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x))) |
Compiled 14 406 to 1 532 computations (89.4% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 430 | 11 | 441 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 433 | 15 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| 69.4% | (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 92.5% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 77.2% | #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)))) | |
| 57.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 54.2% | #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)))) | |
| 29.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) | |
| 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) | |
| ▶ | 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| ▶ | 86.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
| ▶ | 34.5% | #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))) |
| ▶ | 27.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
| 6.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) | |
| ▶ | 53.4% | #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
Compiled 554 to 437 computations (21.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (neg.f64 (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 6 | (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 4 | (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 267 |
| 0 | 61 | 266 |
| 1 | 102 | 260 |
| 2 | 186 | 248 |
| 3 | 440 | 245 |
| 4 | 1500 | 239 |
| 5 | 3800 | 239 |
| 6 | 7584 | 239 |
| 0 | 8415 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
x |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
x |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(neg.f64 y) |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 29.793826565628667 | #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (neg.f64 (*.f64 y y)) | |
| accuracy | 27.636597951350225 | (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 33.76362224576127 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) | |
| accuracy | 13.029116192191115 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) | |
| accuracy | 33.52750312319226 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 8.895573244637466 | #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))) | |
| accuracy | 33.543128237311414 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) | |
| accuracy | 0.12890625 | (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 #s(literal 2 binary64)) y) | |
| accuracy | 8.895573244637466 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
| 86.0ms | 256× | 0 | valid |
Compiled 175 to 33 computations (81.1% saved)
ival-sub: 24.0ms (36.2% of total)ival-mult: 14.0ms (21.1% of total)ival-div: 12.0ms (18.1% of total)ival-add: 5.0ms (7.5% of total)ival-log: 3.0ms (4.5% of total)ival-log1p: 3.0ms (4.5% of total)ival-exp: 2.0ms (3% of total)ival-neg: 2.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(neg.f64 (*.f64 y y)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(*.f64 y y) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(/ (log 2) y) |
(+ (* -1 x) (/ (log 2) y)) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* -1 (* x y)) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(* x (+ 1/2 (* -1 y))) |
(* x (+ 1/2 (+ (* -1 y) (/ (log 2) x)))) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* -1 x) |
(* x (- (/ (log 2) (* x y)) 1)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(* -1 (* x (- y 1/2))) |
(* -1 (* x (- (+ y (* -1 (/ (log 2) x))) 1/2))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y)))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(/ (+ (log 2) (* -1 (* x y))) y) |
(* 1/2 x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(* x (+ 1/2 (* 1/8 x))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* -1 y) |
(* -1 (pow y 2)) |
(pow y 2) |
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(- (/ (log 2) y) x) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | inf | ((+ (* (- (/ (log 2) y) x) y) (* 1/2 x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (/ (log 2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (log 2) y) (* y y)) |
| 18.0ms | y | @ | 0 | ((+ (* (- (/ (log 2) y) x) y) (* 1/2 x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (/ (log 2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (log 2) y) (* y y)) |
| 15.0ms | y | @ | -inf | ((+ (* (- (/ (log 2) y) x) y) (* 1/2 x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (/ (log 2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (log 2) y) (* y y)) |
| 4.0ms | x | @ | -inf | ((+ (* (- (/ (log 2) y) x) y) (* 1/2 x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (/ (log 2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (log 2) y) (* y y)) |
| 4.0ms | x | @ | inf | ((+ (* (- (/ (log 2) y) x) y) (* 1/2 x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (/ (log 2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (log 2) y) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 555 |
| 1 | 567 | 550 |
| 2 | 1587 | 550 |
| 3 | 5268 | 526 |
| 0 | 8445 | 463 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(/ (log 2) y) |
(+ (* -1 x) (/ (log 2) y)) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* -1 (* x y)) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(* x (+ 1/2 (* -1 y))) |
(* x (+ 1/2 (+ (* -1 y) (/ (log 2) x)))) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* -1 x) |
(* x (- (/ (log 2) (* x y)) 1)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(* -1 (* x (- y 1/2))) |
(* -1 (* x (- (+ y (* -1 (/ (log 2) x))) 1/2))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y)))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(/ (+ (log 2) (* -1 (* x y))) y) |
(* 1/2 x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(* x (+ 1/2 (* 1/8 x))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* -1 y) |
(* -1 (pow y 2)) |
(pow y 2) |
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(- (/ (log 2) y) x) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) 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))) |
(/ (log 2) y) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(+ (* -1 x) (/ (log 2) y)) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(* x (- 1/2 y)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(- 1/2 y) |
(-.f64 #s(literal 1/2 binary64) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 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))) |
(* x (+ 1/2 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* x (+ 1/2 (+ (* -1 y) (/ (log 2) x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (log 2) (* x y)) 1)) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* x (- y 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (log 2) x))) 1/2))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ 1 (* -1 (/ (log 2) (* x y)))))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) x) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(/ (+ (log 2) (* -1 (* x y))) y) |
(/.f64 (fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64))) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 y)) |
(-.f64 #s(literal 1/2 binary64) y) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* x (+ 1/2 (* 1/8 x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(pow y 2) |
(*.f64 y y) |
(* y (- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(- (/ (log 2) y) x) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(-.f64 #s(literal 1/2 binary64) y) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 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))) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) y (-.f64 #s(literal 1/2 binary64) y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(-.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 241 |
| 0 | 61 | 234 |
| 1 | 220 | 228 |
| 2 | 1602 | 222 |
| 0 | 8177 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(neg.f64 (*.f64 y y)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.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 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 1/2 binary64)) x))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.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 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.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 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #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 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 1/2 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 1/2 binary64)) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) y) (pow.f64 (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(neg.f64 (*.f64 y y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(neg.f64 (log.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (log.f64 #s(literal 2 binary64)))) |
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 y))) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 y (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 20 350 to 2 478 computations (87.8% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 14 | 552 |
| Fresh | 1 | 6 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 542 | 25 | 567 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 92.5% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 77.2% | #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)))) |
| 57.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 54.2% | #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)))) | |
| 27.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)) | |
| 47.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) | |
| 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) | |
| ✓ | 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 33.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) | |
| ✓ | 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| 54.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| 54.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) y (*.f64 #s(literal 1/2 binary64) x)))) | |
| 34.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) | |
| ▶ | 21.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
| ✓ | 34.5% | #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))) |
| ▶ | 3.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| ▶ | 25.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
| 6.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) | |
| 8.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) | |
| 19.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) | |
| 6.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) | |
| ▶ | 19.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
| ✓ | 53.4% | #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
Compiled 1 136 to 849 computations (25.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) | |
| cost-diff | 3 | (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) | |
| cost-diff | 2 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (- 1/2 y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 447 |
| 0 | 78 | 444 |
| 1 | 130 | 444 |
| 2 | 219 | 438 |
| 3 | 510 | 438 |
| 4 | 1217 | 428 |
| 5 | 2659 | 428 |
| 6 | 4639 | 428 |
| 7 | 7659 | 428 |
| 0 | 8193 | 394 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
x |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(*.f64 (*.f64 #s(literal 1/8 binary64) x) x) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(literal -1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(-.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
x |
| Outputs |
|---|
#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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64) (fma.f64 (fma.f64 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64) (fma.f64 (fma.f64 #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 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.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)) |
(*.f64 x x) |
x |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(*.f64 (*.f64 #s(literal 1/8 binary64) x) x) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x)) |
(*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) |
(*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) |
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(literal -1/8 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x)) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(-.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.489437441689915 | (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) | |
| accuracy | 7.210978540643261 | (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) | |
| accuracy | 8.895573244637466 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) | |
| accuracy | 33.543128237311414 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) | |
| accuracy | 11.104823968495374 | (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) | |
| accuracy | 13.029116192191115 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) | |
| accuracy | 33.52750312319226 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 1.257798738027801 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) | |
| accuracy | 13.029116192191115 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) | |
| accuracy | 33.52750312319226 | #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) | |
| accuracy | 8.895573244637466 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) | |
| accuracy | 31.940834631820508 | #s(approx (- 1/2 y) #s(literal 1/2 binary64)) | |
| accuracy | 33.543128237311414 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.01171875 | (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)) | |
| accuracy | 0.0234375 | (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))) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 14.598531091888246 | #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)))) |
| 85.0ms | 256× | 0 | valid |
Compiled 266 to 41 computations (84.6% saved)
ival-mult: 20.0ms (39.9% of total)ival-add: 8.0ms (15.9% of total)ival-div: 5.0ms (10% of total)ival-sub: 4.0ms (8% of total)const: 4.0ms (8% of total)ival-log: 3.0ms (6% of total)ival-log1p: 3.0ms (6% of total)ival-exp: 2.0ms (4% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) |
(-.f64 #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) |
1/8 |
(+ 1/8 (* -1/192 (pow x 2))) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)) |
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2)))) |
(* 1/8 x) |
(* x (- 1/4 (pow y 2))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (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))))) |
(* -1/192 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(* 1/2 x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (* 1/8 (pow x 2)) (* 1/2 x)) |
(+ (* -1 (* x y)) (+ (* 1/8 (pow x 2)) (* 1/2 x))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(+ (* -1 y) (* x (+ 1/8 (* 1/2 (/ 1 x))))) |
(* x (+ 1/2 (* 1/8 x))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(/ 2 x) |
(+ (* 4 (/ y x)) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(* 1/4 x) |
(+ (* -1 (* x (pow y 2))) (* 1/4 x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(* -1 y) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 (/ x y))))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (- (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y) 1)) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)) |
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- 1/2 y) (* (- (/ (- 1/2 y) x) -1/8) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (* 1/8 x) (* (- 1/4 (* y y)) x)) |
| 6.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- 1/2 y) (* (- (/ (- 1/2 y) x) -1/8) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (* 1/8 x) (* (- 1/4 (* y y)) x)) |
| 6.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- 1/2 y) (* (- (/ (- 1/2 y) x) -1/8) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (* 1/8 x) (* (- 1/4 (* y y)) x)) |
| 6.0ms | 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) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- 1/2 y) (* (- (/ (- 1/2 y) x) -1/8) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (* 1/8 x) (* (- 1/4 (* y y)) x)) |
| 5.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- 1/2 y) (* (- (/ (- 1/2 y) x) -1/8) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (* 1/8 x) (- 1/2 y)) x) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (* 1/8 x) (* (- 1/4 (* y y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1072 |
| 1 | 846 | 1040 |
| 2 | 2569 | 1010 |
| 0 | 8394 | 936 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) |
1/8 |
(+ 1/8 (* -1/192 (pow x 2))) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)) |
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2)))) |
(* 1/8 x) |
(* x (- 1/4 (pow y 2))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (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))))) |
(* -1/192 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(* 1/2 x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
1/2 |
(+ 1/2 (* -1 y)) |
(+ (* 1/8 (pow x 2)) (* 1/2 x)) |
(+ (* -1 (* x y)) (+ (* 1/8 (pow x 2)) (* 1/2 x))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(+ (* -1 y) (* x (+ 1/8 (* 1/2 (/ 1 x))))) |
(* x (+ 1/2 (* 1/8 x))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(/ 2 x) |
(+ (* 4 (/ y x)) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(* 1/4 x) |
(+ (* -1 (* x (pow y 2))) (* 1/4 x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(* -1 y) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(* y (+ (* -1 x) (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 (/ x y))))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (- (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y) 1)) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)) |
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y)) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) 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))) |
(- 1/2 y) |
(-.f64 #s(literal 1/2 binary64) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/192 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(* x (- 1/2 y)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- 1/4 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x) |
(* -1/192 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (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))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1/192 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/192 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/192 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) |
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) #s(literal 1/8 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (/.f64 (-.f64 (-.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64))) |
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (-.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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))) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(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)) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 (* x y)) (* 1/2 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 y)) |
(-.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/8 (pow x 2)) (* 1/2 x)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x) |
(+ (* -1 (* x y)) (+ (* 1/8 (pow x 2)) (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
(+ (* -1 y) (* x (+ 1/8 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) |
(* x (+ 1/2 (* 1/8 x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(+ (* 4 (/ y x)) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 8 binary64) y #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 #s(literal 16 binary64) y #s(literal 8 binary64)) (/.f64 #s(literal 4 binary64) x)) y (/.f64 #s(literal 2 binary64) x)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(+ (* -1 (* x (pow y 2))) (* 1/4 x)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(*.f64 (fma.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) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) y (neg.f64 y)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(* y (+ (* -1 x) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y) |
(* y (- (* 1/2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) |
(* y (+ (* -1 x) (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1/8 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) y) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(*.f64 (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)) y) |
(* y (- (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y) |
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) y)) y) |
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y x)) (/.f64 #s(literal 1/4 binary64) x)) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(*.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) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
(fma.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) y (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(*.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) |
(* -1 (* y (+ x (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y) |
(* -1 (* y (- 1 (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (* 1/2 x)) y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ 1/8 (* 1/2 (/ 1 x)))) y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y x)) (/.f64 #s(literal 1/4 binary64) x)) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 370 |
| 0 | 78 | 367 |
| 1 | 296 | 339 |
| 2 | 2245 | 339 |
| 0 | 10006 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x))) |
(-.f64 #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 y y #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (neg.f64 y) y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) (*.f64 x (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) |
(fma.f64 #s(literal 1/4 binary64) x (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 x #s(literal 1/4 binary64) (*.f64 x (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))) |
Compiled 30 641 to 3 297 computations (89.2% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 668 | 13 | 681 |
| Fresh | 1 | 14 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 672 | 34 | 706 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 92.5% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 57.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 54.2% | #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)))) | |
| 59.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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))) x (log.f64 #s(literal 2 binary64)))) | |
| 27.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)) | |
| 47.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) | |
| 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) | |
| ✓ | 29.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 33.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) | |
| ✓ | 47.2% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
| 54.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| 54.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) y (*.f64 #s(literal 1/2 binary64) x)))) | |
| 34.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) | |
| 22.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) | |
| 23.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) | |
| 20.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) | |
| 2.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) | |
| 2.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) | |
| 47.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) | |
| 34.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) | |
| 3.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) | |
| ✓ | 34.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
| 34.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) | |
| ✓ | 3.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| 34.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) | |
| ✓ | 25.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
| 6.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) | |
| 27.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) | |
| 19.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) | |
| 6.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) | |
| 27.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) | |
| ✓ | 53.4% | #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
Compiled 2 248 to 984 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.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)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(*.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
3 calls:
| 14.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 12.0ms | y |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.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)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 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)))) |
#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 y) 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)))) |
3 calls:
| 11.0ms | x |
| 11.0ms | y |
| 10.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
| 92.5% | 1 | y |
| 98.4% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.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)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (*.f64 #s(literal 1/2 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.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)))) |
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
1 calls:
| 10.0ms | 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)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (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 y) 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)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
2 calls:
| 9.0ms | x |
| 8.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 83.5% | 2 | x |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
1 calls:
| 9.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(approx (- (/ (log 2) y) x) (neg.f64 x)) y (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (*.f64 (*.f64 #s(literal 1/8 binary64) x) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) 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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) x)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (+ (* (- 1/2 y) x) (* (* 1/8 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (neg.f64 y) y) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) x) (/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) y))) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
3 calls:
| 8.0ms | x |
| 8.0ms | y |
| 7.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | x |
| 47.2% | 1 | y |
| 47.2% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
3 calls:
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | y |
| 3.5% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.5% | 1 | x |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -66.69305145839724 | -1.2184299373938432 |
| 7.0ms | 112× | 0 | valid |
Compiled 285 to 235 computations (17.5% saved)
ival-sub: 1.0ms (24.7% of total)ival-exp: 1.0ms (24.7% of total)ival-log1p: 1.0ms (24.7% of total)ival-mult: 1.0ms (24.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -693296975048223900.0 | -66.69305145839724 |
| 8.0ms | 160× | 0 | valid |
Compiled 352 to 301 computations (14.5% saved)
ival-exp: 2.0ms (41.4% of total)ival-sub: 1.0ms (20.7% of total)ival-log1p: 1.0ms (20.7% of total)ival-mult: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -66.69305145839724 | -1.2184299373938432 |
| 4.0ms | 64× | 0 | valid |
Compiled 229 to 200 computations (12.7% saved)
ival-exp: 1.0ms (42.4% of total)ival-log1p: 1.0ms (42.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -4.455762274812797e+23 | -693296975048223900.0 |
| 9.0ms | 144× | 0 | valid |
Compiled 237 to 218 computations (8% saved)
ival-sub: 1.0ms (27.1% of total)ival-exp: 1.0ms (27.1% of total)ival-log1p: 1.0ms (27.1% of total)ival-mult: 1.0ms (27.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7025602677961849 | 3628036.8930675117 |
| 0.0ms | 0.00038093350791637483 | 0.6204366643196503 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7025602677961849 | 3628036.8930675117 |
| 0.0ms | 0.00038093350791637483 | 0.6204366643196503 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 301 |
| 1 | 106 | 301 |
| 2 | 136 | 301 |
| 3 | 178 | 301 |
| 4 | 224 | 301 |
| 5 | 338 | 301 |
| 6 | 1447 | 301 |
| 7 | 3885 | 301 |
| 8 | 7538 | 301 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) 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))))) |
(if (<=.f64 x #s(literal -80 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -700000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (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 y) x)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) 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))))) |
(if (<=.f64 x #s(literal -80 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -700000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (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 y) x)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 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 y) 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))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/2305843009213693952 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 y) x)) #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 y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 13 | 23 |
| 1 | 47 | 23 |
| 2 | 311 | 23 |
| 3 | 2719 | 23 |
| 0 | 9082 | 19 |
| 0 | 181 | 555 |
| 1 | 567 | 550 |
| 2 | 1587 | 550 |
| 3 | 5268 | 526 |
| 0 | 8445 | 463 |
| 0 | 67 | 197 |
| 1 | 180 | 197 |
| 2 | 399 | 197 |
| 3 | 1386 | 197 |
| 4 | 4230 | 187 |
| 5 | 7018 | 187 |
| 0 | 8031 | 153 |
| 0 | 159 | 485 |
| 1 | 494 | 483 |
| 2 | 1333 | 483 |
| 3 | 4978 | 457 |
| 0 | 8390 | 386 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 470 to 207 computations (56% saved)
Compiled 672 to 192 computations (71.4% saved)
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