
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 483.0ms | 8 256× | 0 | valid |
| 1.0ms | 24× | 0 | invalid |
ival-log: 117.0ms (39.1% of total)ival-div: 72.0ms (24.1% of total)ival-sub: 55.0ms (18.4% of total)ival-neg: 39.0ms (13% of total)ival-true: 7.0ms (2.3% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 30.0ms | 512× | 0 | valid |
Compiled 80 to 28 computations (65% saved)
ival-log: 7.0ms (39.8% of total)ival-div: 5.0ms (28.4% of total)ival-sub: 3.0ms (17.1% of total)ival-neg: 2.0ms (11.4% 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 | 8 | 15 |
| 1 | 21 | 13 |
| 2 | 39 | 13 |
| 3 | 64 | 13 |
| 4 | 76 | 13 |
| 5 | 85 | 13 |
| 6 | 93 | 13 |
| 7 | 102 | 13 |
| 8 | 105 | 13 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 17 | 7 |
| 2 | 20 | 7 |
| 3 | 22 | 7 |
| 4 | 24 | 7 |
| 5 | 28 | 7 |
| 6 | 33 | 7 |
| 0 | 33 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 17 | 23 |
| 2 | 20 | 23 |
| 3 | 22 | 23 |
| 4 | 24 | 23 |
| 5 | 28 | 23 |
| 6 | 33 | 23 |
| 0 | 33 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 19.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-neg: 5.0ms (39.5% of total)ival-log: 3.0ms (23.7% of total)ival-div: 2.0ms (15.8% of total)ival-sub: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
-1 |
(- (/ 1 x) 1) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 1.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 0.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 194 |
| 1 | 190 | 181 |
| 2 | 397 | 179 |
| 3 | 969 | 170 |
| 4 | 1992 | 169 |
| 5 | 4380 | 169 |
| 6 | 5774 | 169 |
| 7 | 5946 | 169 |
| 8 | 5959 | 169 |
| 9 | 5959 | 169 |
| 10 | 5959 | 169 |
| 11 | 6133 | 169 |
| 12 | 6219 | 169 |
| 13 | 6219 | 169 |
| 0 | 6219 | 161 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
-1 |
(- (/ 1 x) 1) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(neg.f64 (+.f64 (log.f64 x) x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 38 | 21 |
| 2 | 236 | 21 |
| 3 | 2512 | 21 |
| 0 | 9315 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))))) |
(/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal -9 binary64)) (*.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))) (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 7 823 to 1 338 computations (82.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 5 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 359 | 6 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 100.0% | (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
| ▶ | 100.0% | (log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
| ▶ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ▶ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ▶ | 98.7% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
Compiled 123 to 98 computations (20.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (log.f64 x)) | |
| cost-diff | 0 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| cost-diff | 0 | (log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) | |
| cost-diff | 18496 | (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (+.f64 (log.f64 x) x) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) | |
| cost-diff | 0 | (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 135 |
| 0 | 39 | 136 |
| 1 | 62 | 124 |
| 2 | 89 | 124 |
| 3 | 121 | 123 |
| 4 | 171 | 123 |
| 5 | 218 | 123 |
| 6 | 320 | 123 |
| 7 | 585 | 123 |
| 8 | 850 | 123 |
| 9 | 1178 | 123 |
| 10 | 1550 | 123 |
| 11 | 1598 | 123 |
| 12 | 1604 | 123 |
| 13 | 1616 | 123 |
| 14 | 1634 | 123 |
| 15 | 1668 | 123 |
| 16 | 1682 | 123 |
| 0 | 1682 | 123 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) |
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.0078125 | (log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) | |
| accuracy | 0.1484375 | (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) | |
| accuracy | 5.69023885514301 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) | |
| accuracy | 0.4751849656773073 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.01953125 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.5228781701580837 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.8196583076897035 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) | |
| accuracy | 0.0 | (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) | |
| accuracy | 0.0 | #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.0078125 | (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
| 98.0ms | 256× | 0 | valid |
Compiled 246 to 47 computations (80.9% saved)
ival-div: 31.0ms (53.3% of total)ival-log: 9.0ms (15.5% of total)ival-add: 4.0ms (6.9% of total)ival-mult: 3.0ms (5.2% of total)ival-expm1: 3.0ms (5.2% of total)ival-sub: 3.0ms (5.2% of total)ival-pow: 3.0ms (5.2% of total)ival-neg: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) |
(log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
| Outputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
1 |
(+ 1 (* -1 x)) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* 1/2 x)) |
(/ 1 (- (exp (neg (log x))) 1)) |
(log (/ 1 (- (exp (neg (log x))) 1))) |
(- (exp (neg (log x))) 1) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
-1 |
(- (/ 1 x) 1) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (log (/ 1 x))) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(log (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (- 1 x) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (pow (- (exp (neg (log x))) 1) -1) (log (pow (- (exp (neg (log x))) 1) -1)) (- (exp (neg (log x))) 1) (neg (log x)) (/ (- 1 x) x)) |
| 57.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (- 1 x) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (pow (- (exp (neg (log x))) 1) -1) (log (pow (- (exp (neg (log x))) 1) -1)) (- (exp (neg (log x))) 1) (neg (log x)) (/ (- 1 x) x)) |
| 56.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (- 1 x) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (pow (- (exp (neg (log x))) 1) -1) (log (pow (- (exp (neg (log x))) 1) -1)) (- (exp (neg (log x))) 1) (neg (log x)) (/ (- 1 x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 356 |
| 1 | 346 | 328 |
| 2 | 788 | 326 |
| 3 | 2942 | 316 |
| 0 | 8257 | 288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
1 |
(+ 1 (* -1 x)) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* 1/2 x)) |
(/ 1 (- (exp (neg (log x))) 1)) |
(log (/ 1 (- (exp (neg (log x))) 1))) |
(- (exp (neg (log x))) 1) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
-1 |
(- (/ 1 x) 1) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (log (/ 1 x))) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(log (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(neg.f64 (+.f64 (log.f64 x) x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x (neg.f64 (log.f64 x))) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ (+ 1 (* -1 x)) x) |
(expm1.f64 (neg.f64 (log.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/ 1 (- (exp (neg (log x))) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (/ 1 (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (/ 1 (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (/ 1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(neg.f64 (log.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 120 |
| 0 | 39 | 121 |
| 1 | 149 | 108 |
| 2 | 1013 | 108 |
| 0 | 8516 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) |
(log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(*.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))))) (-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)))) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64))) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64))))) |
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(log.f64 (pow.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 2 binary64))) (neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))))) |
(+.f64 #s(literal 0 binary64) (log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) |
(*.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (/ 1 x) 1) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
Compiled 19 184 to 3 106 computations (83.8% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 5 | 834 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 831 | 9 | 840 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 100.0% | (log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ▶ | 100.0% | (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 98.7% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ▶ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
Compiled 189 to 139 computations (26.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 704 | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 166 |
| 0 | 46 | 156 |
| 1 | 73 | 156 |
| 2 | 101 | 156 |
| 3 | 135 | 156 |
| 4 | 217 | 156 |
| 5 | 341 | 156 |
| 6 | 745 | 156 |
| 7 | 2171 | 156 |
| 8 | 3998 | 156 |
| 9 | 6318 | 156 |
| 10 | 7609 | 156 |
| 0 | 8086 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
(log.f64 x) |
x |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x x x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
(log.f64 x) |
x |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.00390625 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0.024695031620653757 | (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.0078125 | (log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| accuracy | 0.009070031620653759 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) | |
| accuracy | 0.4751849656773073 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| accuracy | 62.49690831464614 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.4751849656773073 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 62.24234570760889 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0078125 | (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
| 84.0ms | 256× | 0 | valid |
Compiled 303 to 59 computations (80.5% saved)
ival-div: 27.0ms (43.8% of total)ival-log: 15.0ms (24.3% of total)ival-mult: 6.0ms (9.7% of total)ival-sub: 5.0ms (8.1% of total)ival-add: 4.0ms (6.5% of total)ival-log1p: 2.0ms (3.2% of total)ival-neg: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 x x x) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
(log.f64 x) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
1 |
(+ 1 (* -1 x)) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(* x (+ 1 (* 1/2 x))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* -1 (pow x 2))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(* x (- (/ 1 x) 1)) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (/ 1 x)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((log (/ x (- 1 x))) (/ x (- 1 x)) (- 1 x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (/ (+ (* x x) x) (- 1 (* x x))) (log (/ (+ (* x x) x) (- 1 (* x x)))) (+ (* x x) x) (- 1 (* x x)) (- (log x) (log (+ 1 (neg x)))) (log x) (log (+ 1 (neg x))) (neg x)) |
| 9.0ms | x | @ | -inf | ((log (/ x (- 1 x))) (/ x (- 1 x)) (- 1 x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (/ (+ (* x x) x) (- 1 (* x x))) (log (/ (+ (* x x) x) (- 1 (* x x)))) (+ (* x x) x) (- 1 (* x x)) (- (log x) (log (+ 1 (neg x)))) (log x) (log (+ 1 (neg x))) (neg x)) |
| 7.0ms | x | @ | 0 | ((log (/ x (- 1 x))) (/ x (- 1 x)) (- 1 x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (/ (+ (* x x) x) (- 1 (* x x))) (log (/ (+ (* x x) x) (- 1 (* x x)))) (+ (* x x) x) (- 1 (* x x)) (- (log x) (log (+ 1 (neg x)))) (log x) (log (+ 1 (neg x))) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 498 |
| 1 | 405 | 474 |
| 2 | 967 | 465 |
| 3 | 3310 | 432 |
| 4 | 7762 | 432 |
| 0 | 8256 | 404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
1 |
(+ 1 (* -1 x)) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(* x (+ 1 (* 1/2 x))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* -1 (pow x 2))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(* x (- (/ 1 x) 1)) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (/ 1 x)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64))) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(* -1 (log (/ -1 x))) |
(log.f64 (neg.f64 x)) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (log.f64 (neg.f64 x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 153 |
| 0 | 46 | 143 |
| 1 | 182 | 143 |
| 2 | 1331 | 141 |
| 0 | 8974 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 x x x) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
(log.f64 x) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (log1p.f64 (*.f64 x x))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (+.f64 (log1p.f64 (*.f64 x x)) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log1p.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x))) (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (log.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (log.f64 x) (log1p.f64 x)))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (*.f64 x x))))) (-.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 (log1p.f64 (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
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(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 x #s(literal 1 binary64))))))) |
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(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 16 691 to 2 659 computations (84.1% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 791 | 2 | 793 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 791 | 11 | 802 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 100.0% | (log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 100.0% | (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.2% | (log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 98.7% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ✓ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
Compiled 152 to 111 computations (27% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) | |
| cost-diff | 0 | (log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 76 |
| 0 | 26 | 76 |
| 1 | 44 | 76 |
| 2 | 59 | 76 |
| 3 | 76 | 76 |
| 4 | 119 | 76 |
| 5 | 142 | 76 |
| 6 | 187 | 76 |
| 7 | 315 | 76 |
| 8 | 473 | 76 |
| 9 | 572 | 76 |
| 10 | 708 | 76 |
| 11 | 872 | 76 |
| 12 | 1041 | 76 |
| 13 | 1178 | 76 |
| 14 | 1196 | 76 |
| 15 | 1206 | 76 |
| 16 | 1217 | 76 |
| 17 | 1221 | 76 |
| 0 | 1221 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 x x x) | |
| accuracy | 0.0078125 | (log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) | |
| accuracy | 0.5338626577849317 | #s(approx (/ x (- 1 x)) (fma.f64 x x x)) | |
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.4751849656773073 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) | |
| accuracy | 62.24234570760889 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 122 to 42 computations (65.6% saved)
ival-log: 9.0ms (32.5% of total)ival-mult: 6.0ms (21.7% of total)ival-div: 4.0ms (14.5% of total)ival-add: 4.0ms (14.5% of total)ival-sub: 3.0ms (10.8% of total)ival-neg: 1.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
| Outputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (log (/ x (- 1 x))) (/ x (- 1 x)) (+ (* x x) x)) |
| 1.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (log (/ x (- 1 x))) (/ x (- 1 x)) (+ (* x x) x)) |
| 1.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (log (/ x (- 1 x))) (/ x (- 1 x)) (+ (* x x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 310 |
| 1 | 263 | 296 |
| 2 | 631 | 286 |
| 3 | 1722 | 282 |
| 4 | 4276 | 273 |
| 0 | 8172 | 255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(+.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64))) x) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 73 |
| 0 | 26 | 73 |
| 1 | 113 | 73 |
| 2 | 793 | 72 |
| 0 | 8398 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(fma.f64 x x x) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (/ x (- 1 x)) (fma.f64 x x x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) |
(*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x x) (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))) (neg.f64 (fma.f64 (neg.f64 x) x x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))) (fma.f64 (neg.f64 x) x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (neg.f64 x) x x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(neg.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 (neg.f64 x) x x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 x x) (neg.f64 x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
Compiled 3 512 to 665 computations (81.1% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 0 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 158 | 11 | 169 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 100.0% | (log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 100.0% | (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.2% | (log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 98.7% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ✓ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
Compiled 324 to 170 computations (47.5% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))) |
(log.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
5 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 100.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 100.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 100.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 100.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
5 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
| Outputs |
|---|
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
5 calls:
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
5 calls:
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
5 calls:
| 2.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 98.7% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 98.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 98.7% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
Total -0.3b remaining (-0.4%)
Threshold costs -0.3b (-0.4%)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
5 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | x |
| 2.7% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.7% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.7% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 53 | 92 |
| 2 | 75 | 92 |
| 3 | 118 | 92 |
| 4 | 206 | 92 |
| 5 | 298 | 92 |
| 6 | 1003 | 92 |
| 7 | 3972 | 92 |
| 1× | node limit |
| Inputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(log.f64 #s(approx (/ x (- 1 x)) (fma.f64 x x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 153 |
| 0 | 46 | 143 |
| 1 | 182 | 143 |
| 2 | 1331 | 141 |
| 0 | 8974 | 130 |
| 0 | 142 | 498 |
| 1 | 405 | 474 |
| 2 | 967 | 465 |
| 3 | 3310 | 432 |
| 4 | 7762 | 432 |
| 0 | 8256 | 404 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 38 | 21 |
| 2 | 236 | 21 |
| 3 | 2512 | 21 |
| 0 | 9315 | 18 |
| 0 | 75 | 194 |
| 1 | 190 | 181 |
| 2 | 397 | 179 |
| 3 | 969 | 170 |
| 4 | 1992 | 169 |
| 5 | 4380 | 169 |
| 6 | 5774 | 169 |
| 7 | 5946 | 169 |
| 8 | 5959 | 169 |
| 9 | 5959 | 169 |
| 10 | 5959 | 169 |
| 11 | 6133 | 169 |
| 12 | 6219 | 169 |
| 13 | 6219 | 169 |
| 0 | 6219 | 161 |
| 0 | 24 | 120 |
| 0 | 39 | 121 |
| 1 | 149 | 108 |
| 2 | 1013 | 108 |
| 0 | 8516 | 108 |
| 0 | 125 | 356 |
| 1 | 346 | 328 |
| 2 | 788 | 326 |
| 3 | 2942 | 316 |
| 0 | 8257 | 288 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 194 to 113 computations (41.8% saved)
Compiled 198 to 86 computations (56.6% saved)
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