
Time bar (total: 4.5s)
| 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)
| 462.0ms | 8 256× | 0 | valid |
| 1.0ms | 21× | 0 | invalid |
ival-log: 120.0ms (40.6% of total)ival-div: 69.0ms (23.3% of total)ival-neg: 49.0ms (16.6% of total)ival-sub: 43.0ms (14.6% of total)ival-true: 7.0ms (2.4% 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 57 to 22 computations (61.4% saved)
ival-log: 8.0ms (43.3% of total)ival-div: 4.0ms (21.6% of total)ival-sub: 3.0ms (16.2% of total)ival-neg: 2.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-log: 3.0ms (37.1% of total)ival-div: 2.0ms (24.8% of total)ival-sub: 1.0ms (12.4% of total)ival-neg: 1.0ms (12.4% 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)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 4 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 360 | 5 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 99.7% | #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))) |
| ▶ | 99.6% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ▶ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
Compiled 58 to 46 computations (20.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 121 |
| 0 | 36 | 121 |
| 1 | 56 | 121 |
| 2 | 73 | 121 |
| 3 | 101 | 121 |
| 4 | 136 | 121 |
| 5 | 168 | 121 |
| 6 | 206 | 121 |
| 7 | 252 | 121 |
| 8 | 322 | 121 |
| 9 | 515 | 121 |
| 10 | 670 | 121 |
| 11 | 827 | 121 |
| 12 | 1218 | 121 |
| 13 | 1296 | 121 |
| 14 | 1349 | 121 |
| 15 | 1392 | 121 |
| 16 | 1400 | 121 |
| 0 | 1400 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (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 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 28.968540573700196 | (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) | |
| accuracy | 0.16663794617674885 | #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 | 0.00390625 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.23333240592599158 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.6522258335339669 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| 53.0ms | 256× | 0 | valid |
Compiled 109 to 24 computations (78% saved)
ival-log: 11.0ms (30% of total)ival-neg: 6.0ms (16.4% of total)ival-pow: 5.0ms (13.6% of total)ival-div: 4.0ms (10.9% of total)ival-sub: 4.0ms (10.9% of total)ival-add: 3.0ms (8.2% of total)ival-mult: 3.0ms (8.2% 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))) (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)) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
| 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 |
(+ 1 (* 1/2 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 (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 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)) |
(* -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))) |
(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 (pow x 2)) 1) |
(+ 1 (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (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)))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((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) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (- (pow x -1) -1) (pow x -1)) |
| 23.0ms | x | @ | 0 | ((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) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (- (pow x -1) -1) (pow x -1)) |
| 6.0ms | x | @ | inf | ((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) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (- (pow x -1) -1) (pow x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 336 |
| 1 | 305 | 313 |
| 2 | 669 | 304 |
| 3 | 2554 | 288 |
| 4 | 6649 | 286 |
| 0 | 8146 | 270 |
| 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 |
(+ 1 (* 1/2 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 (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 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)) |
(* -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))) |
(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 (pow x 2)) 1) |
(+ 1 (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (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)))) |
(+ (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)) |
(+ 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* -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) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 x #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 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) (log.f64 #s(literal -1 binary64))) |
(* -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)) |
(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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 (pow x 2)) 1) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (neg.f64 x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (neg.f64 x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 36 | 87 |
| 1 | 150 | 87 |
| 2 | 988 | 87 |
| 0 | 8561 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(neg.f64 (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(*.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 x) x))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.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)) (*.f64 x x)) (pow.f64 (-.f64 (log.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))))) |
(/.f64 (neg.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 (-.f64 (log.f64 x) x) (*.f64 x x))) (*.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x))) |
(/.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) (log.f64 x) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.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)) (*.f64 x x)) (-.f64 (log.f64 x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x))) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x)) |
(fma.f64 x #s(literal 1 binary64) (log.f64 x)) |
(fma.f64 #s(literal 1 binary64) x (log.f64 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(+.f64 (log.f64 x) x) |
(+.f64 x (log.f64 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))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)))))) |
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(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.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)))) (expm1.f64 (neg.f64 (log.f64 x)))) (/.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)) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.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 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 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 -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #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))) |
(*.f64 (neg.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 (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 x #s(literal -1/2 binary64)) (neg.f64 (*.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 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.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 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 20 655 to 3 205 computations (84.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 762 | 2 | 764 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 763 | 6 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.7% | #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))) |
| ✓ | 99.6% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 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 82 to 63 computations (23.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) | |
| 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 0 | 34 | 106 |
| 1 | 55 | 106 |
| 2 | 73 | 106 |
| 3 | 92 | 106 |
| 4 | 130 | 106 |
| 5 | 162 | 106 |
| 6 | 200 | 106 |
| 7 | 246 | 106 |
| 8 | 319 | 106 |
| 9 | 518 | 106 |
| 10 | 672 | 106 |
| 11 | 825 | 106 |
| 12 | 1213 | 106 |
| 13 | 1295 | 106 |
| 14 | 1350 | 106 |
| 15 | 1393 | 106 |
| 16 | 1401 | 106 |
| 0 | 1401 | 102 |
| 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 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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#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) |
| Outputs |
|---|
#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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#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) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) | |
| accuracy | 28.968540573700196 | (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.16663794617674885 | #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 | 62.29718064528663 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
| 56.0ms | 256× | 0 | valid |
Compiled 85 to 24 computations (71.8% saved)
ival-log: 14.0ms (40.2% of total)ival-mult: 6.0ms (17.2% of total)ival-div: 4.0ms (11.5% of total)ival-sub: 4.0ms (11.5% of total)ival-pow: 3.0ms (8.6% of total)ival-add: 2.0ms (5.7% of total)ival-neg: 2.0ms (5.7% 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 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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
| 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)) |
(pow x 2) |
(* -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 (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 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)) |
(* (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 (/ (+ 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 (pow x 2)) 1) |
1 |
(+ 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 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (/ (- (pow x -2) 1) (- (/ 1 x) -1)))) (log (/ (- (pow x -2) 1) (- (/ 1 x) -1))) (/ (- (pow x -2) 1) (- (/ 1 x) -1)) (- (pow x -2) 1) (- (/ 1 x) -1)) |
| 1.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (/ (- (pow x -2) 1) (- (/ 1 x) -1)))) (log (/ (- (pow x -2) 1) (- (/ 1 x) -1))) (/ (- (pow x -2) 1) (- (/ 1 x) -1)) (- (pow x -2) 1) (- (/ 1 x) -1)) |
| 1.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (/ (- (pow x -2) 1) (- (/ 1 x) -1)))) (log (/ (- (pow x -2) 1) (- (/ 1 x) -1))) (/ (- (pow x -2) 1) (- (/ 1 x) -1)) (- (pow x -2) 1) (- (/ 1 x) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 294 |
| 1 | 272 | 276 |
| 2 | 601 | 267 |
| 3 | 1636 | 255 |
| 4 | 5121 | 254 |
| 0 | 8640 | 240 |
| 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)) |
(pow x 2) |
(* -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 (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 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)) |
(* (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 (/ (+ 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 (pow x 2)) 1) |
1 |
(+ 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 (+ (/ 1/3 (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)) |
(+ 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)) |
(pow x 2) |
(*.f64 x 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) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 x #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)) |
(-.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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) 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 (/ (+ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 (pow x 2)) 1) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) 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 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 94 |
| 0 | 34 | 76 |
| 1 | 134 | 76 |
| 2 | 865 | 76 |
| 0 | 9090 | 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 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) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
| Outputs |
|---|
#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 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/2 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 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (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 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.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 #s(literal -1 binary64) (-.f64 (pow.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)))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.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))))) (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 -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 #s(literal 0 binary64) (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 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.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 (neg.f64 (-.f64 (pow.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)))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))) |
(/.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 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.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 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (+.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 (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.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))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 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 (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (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))))) |
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(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (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) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (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) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.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 -2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 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 -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.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) (expm1.f64 (neg.f64 (log.f64 x))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.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)))) (expm1.f64 (neg.f64 (log.f64 x)))) (/.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)) (expm1.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #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 -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 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 -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) #s(literal 1 binary64))) (neg.f64 (/.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 -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
Compiled 18 281 to 2 936 computations (83.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 695 | 0 | 695 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 695 | 6 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.5% | (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.7% | #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))) |
| ✓ | 99.6% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 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 177 to 105 computations (40.7% saved)
| Inputs |
|---|
#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))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.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))) |
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
5 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (-.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))) |
| 2.0ms | 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 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.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))) |
| 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:
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.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 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.7% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.7% | 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 x x) #s(literal 1/2 binary64)))) |
#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:
| 2.0ms | 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 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.6% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.6% | 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 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
5 calls:
| 1.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 1.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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)))) |
| Outputs |
|---|
#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)))) |
5 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 1.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 1.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 1.0ms | (/.f64 #s(literal 1 binary64) 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 | 27 | 69 |
| 1 | 44 | 69 |
| 2 | 63 | 69 |
| 3 | 101 | 69 |
| 4 | 177 | 69 |
| 5 | 256 | 69 |
| 6 | 730 | 69 |
| 7 | 2616 | 69 |
| 8 | 5968 | 69 |
| 1× | node limit |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#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))) |
#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 x x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#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))) |
#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 x x) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 336 |
| 1 | 305 | 313 |
| 2 | 669 | 304 |
| 3 | 2554 | 288 |
| 4 | 6649 | 286 |
| 0 | 8146 | 270 |
| 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× | done |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 91 to 48 computations (47.3% saved)
Compiled 152 to 72 computations (52.6% saved)
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