
Time bar (total: 7.9s)
| 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)
| 406.0ms | 8 256× | 0 | valid |
| 1.0ms | 21× | 0 | invalid |
ival-log: 103.0ms (38.3% of total)ival-div: 66.0ms (24.6% of total)ival-neg: 51.0ms (19% of total)ival-sub: 36.0ms (13.4% of total)ival-true: 5.0ms (1.9% of total)exact: 4.0ms (1.5% of total)ival-assert: 3.0ms (1.1% of total)| 1× | egg-herbie |
| 26× | sub-neg |
| 16× | +-commutative |
| 12× | lower-+.f64 |
| 12× | lower-+.f32 |
| 12× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 21 | 13 |
| 2 | 39 | 13 |
| 3 | 62 | 13 |
| 4 | 74 | 13 |
| 5 | 83 | 13 |
| 6 | 91 | 13 |
| 7 | 100 | 13 |
| 8 | 103 | 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)))) |
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
| 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 |
| 31.0ms | 512× | 0 | valid |
Compiled 66 to 28 computations (57.6% saved)
ival-log: 6.0ms (38% of total)ival-div: 4.0ms (25.3% of total)ival-sub: 2.0ms (12.7% of total)ival-neg: 2.0ms (12.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 8 to 6 computations (25% 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)))) |
| 12× | lower-+.f64 |
| 12× | lower-+.f32 |
| 8× | sub-neg |
| 8× | lower--.f32 |
| 6× | lower--.f64 |
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)))) |
(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))) |
(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 (/.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 | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 13.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-log: 3.0ms (38.3% of total)ival-div: 2.0ms (25.5% of total)ival-sub: 1.0ms (12.8% of total)ival-neg: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))> |
#<alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
| Outputs |
|---|
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (* -1 (log x))> |
#<alt (+ (* -1 x) (* -1 (log x)))> |
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))> |
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (neg (log (- (/ 1 x) 1))) |
| 0.0ms | x | @ | inf | (neg (log (- (/ 1 x) 1))) |
| 0.0ms | x | @ | 0 | (- (/ 1 x) 1) |
| 0.0ms | x | @ | -inf | (neg (log (- (/ 1 x) 1))) |
| 0.0ms | x | @ | -inf | (- (/ 1 x) 1) |
| 1× | egg-herbie |
| 5 216× | lower-fma.f64 |
| 5 216× | lower-fma.f32 |
| 1 376× | lower-*.f64 |
| 1 376× | lower-*.f32 |
| 944× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 313 |
| 1 | 190 | 292 |
| 2 | 397 | 290 |
| 3 | 962 | 280 |
| 4 | 1965 | 278 |
| 5 | 4210 | 278 |
| 6 | 5604 | 278 |
| 7 | 5777 | 278 |
| 8 | 5792 | 278 |
| 9 | 5792 | 278 |
| 10 | 5792 | 278 |
| 11 | 5967 | 278 |
| 12 | 5993 | 278 |
| 13 | 5993 | 278 |
| 0 | 5993 | 270 |
| 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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* -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))) |
(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)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(-.f64 (neg.f64 x) (log.f64 x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (log.f64 x)) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (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 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) 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 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
| 1× | batch-egg-rewrite |
| 3 528× | lower-fma.f64 |
| 3 528× | lower-fma.f32 |
| 2 728× | lower-/.f32 |
| 2 726× | lower-/.f64 |
| 1 996× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 38 | 21 |
| 2 | 236 | 21 |
| 3 | 2504 | 21 |
| 0 | 9279 | 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 |
|---|
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(+.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #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 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.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 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 11 066 to 1 317 computations (88.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 4 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 389 | 5 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.2% | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ▶ | 98.9% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ▶ | 98.5% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
Compiled 41 to 28 computations (31.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x (log.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| 72× | lower-fma.f32 |
| 68× | lower-fma.f64 |
| 56× | lower-+.f32 |
| 50× | lower-+.f64 |
| 50× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 133 |
| 0 | 37 | 133 |
| 1 | 59 | 133 |
| 2 | 76 | 133 |
| 3 | 103 | 133 |
| 4 | 107 | 133 |
| 5 | 114 | 133 |
| 6 | 121 | 133 |
| 0 | 121 | 133 |
| 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 x (log.f64 x))) |
(+.f64 x (log.f64 x)) |
x |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 x) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
(+.f64 x (log.f64 x)) |
x |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 x) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 52.6% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (log.f64 x)) |
| ✓ | accuracy | 98.9% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 98.5% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| 54.0ms | 256× | 0 | valid |
Compiled 121 to 23 computations (81% saved)
ival-mult: 11.0ms (26.3% of total)ival-log: 11.0ms (26.3% of total)ival-add: 9.0ms (21.5% of total)ival-div: 7.0ms (16.7% of total)ival-neg: 2.0ms (4.8% of total)ival-sub: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))> |
#<alt (log.f64 x)> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))> |
#<alt (+.f64 x (log.f64 x))> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))> |
| Outputs |
|---|
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ x (log x))> |
#<alt (+ x (log x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (* -1 (log x))> |
#<alt (+ (* -1 x) (* -1 (log x)))> |
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))> |
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt (/ (+ 1 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (/ 1 x) 1)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (pow x 2))) (pow x 2))> |
#<alt -1> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt -1> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (- (/ 1 (pow x 2)) 1)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 x) x)> |
#<alt (/ (+ 1 x) x)> |
#<alt (/ (+ 1 x) x)> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | (log x) |
| 21.0ms | x | @ | -inf | (log x) |
| 6.0ms | x | @ | inf | (log x) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x 1/2) 1)) (log x)) |
| 0.0ms | x | @ | 0 | (/ (+ -1 (/ 1 (* x x))) (+ 1 (/ 1 x))) |
| 1× | egg-herbie |
| 9 908× | lower-fma.f64 |
| 9 908× | lower-fma.f32 |
| 2 770× | lower-*.f64 |
| 2 770× | lower-*.f32 |
| 2 160× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1122 |
| 1 | 305 | 1057 |
| 2 | 669 | 1029 |
| 3 | 2542 | 970 |
| 4 | 6545 | 965 |
| 0 | 8020 | 921 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ x (log x)) |
(+ x (log x)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* -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))) |
(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)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
-1 |
(- (/ 1 (pow x 2)) 1) |
(- (/ 1 (pow x 2)) 1) |
(- (/ 1 (pow x 2)) 1) |
-1 |
(- (/ 1 (pow x 2)) 1) |
(- (/ 1 (pow x 2)) 1) |
(- (/ 1 (pow x 2)) 1) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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)) |
(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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(- (* -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 x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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)) |
(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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(- (* -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 x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 x (log.f64 x)) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 x (log.f64 x)) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 x (log.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (neg.f64 x)) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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)) |
(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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(- (* -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 x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (neg.f64 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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)) |
(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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(- (* -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))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(-.f64 (neg.f64 x) (log.f64 x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (log.f64 x)) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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))) |
(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 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (+ 1 (* -1 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (/ 1 (pow x 2)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1 x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/ (+ 1 x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 1× | batch-egg-rewrite |
| 6 894× | lower-fma.f32 |
| 6 890× | lower-fma.f64 |
| 3 654× | lower-/.f32 |
| 3 648× | lower-/.f64 |
| 3 318× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 115 |
| 0 | 37 | 107 |
| 1 | 151 | 87 |
| 2 | 1104 | 87 |
| 0 | 8749 | 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 x (log.f64 x))) |
(+.f64 x (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
(+.f64 x (log.f64 x)) |
(+.f64 (log.f64 x) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 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))) |
(fma.f64 #s(literal 1 binary64) x (log.f64 x)) |
(fma.f64 x #s(literal 1 binary64) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (log.f64 x)) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (log.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (log.f64 x)))) (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (*.f64 (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 x (log.f64 x)) (-.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 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 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 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))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (log.f64 x)))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (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) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))))) |
(+.f64 (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x (log.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x (log.f64 x))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x (log.f64 x))) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))) (log.f64 x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (log.f64 x)) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (log.f64 x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (log.f64 x)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x) (log.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x) (log.f64 x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (*.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
Compiled 19 109 to 2 391 computations (87.5% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 803 | 3 | 806 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 803 | 8 | 811 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.6% | (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ✓ | 98.9% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ✓ | 98.5% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
Compiled 130 to 57 computations (56.2% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 33920 | (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (+.f64 x (log.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| ✓ | cost-diff | 128 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| 5 860× | lower-fma.f32 |
| 5 858× | lower-fma.f64 |
| 1 782× | lower-*.f32 |
| 1 772× | lower-*.f64 |
| 1 264× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 419 |
| 0 | 57 | 390 |
| 1 | 108 | 387 |
| 2 | 164 | 386 |
| 3 | 337 | 298 |
| 4 | 844 | 298 |
| 5 | 2563 | 298 |
| 6 | 6161 | 298 |
| 0 | 8052 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(+.f64 x (log.f64 x)) |
(log.f64 x) |
(neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1 binary64) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(+.f64 x (log.f64 x)) |
(log.f64 x) |
(neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1 binary64) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 99.2% | (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
| ✓ | accuracy | 51.2% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 39.1% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
| ✓ | accuracy | 100.0% | (+.f64 x (log.f64 x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 2.7% | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| 67.0ms | 256× | 0 | valid |
Compiled 389 to 34 computations (91.3% saved)
ival-log: 16.0ms (30.1% of total)ival-mult: 14.0ms (26.4% of total)ival-add: 8.0ms (15.1% of total)ival-div: 7.0ms (13.2% of total)ival-sub: 4.0ms (7.5% of total)ival-neg: 3.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))> |
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))> |
#<alt (+.f64 x (log.f64 x))> |
#<alt (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))> |
#<alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))> |
#<alt (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))> |
#<alt (log.f64 x)> |
#<alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))> |
#<alt (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))> |
| Outputs |
|---|
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ x (log x))> |
#<alt (+ x (log x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))> |
#<alt (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (+ (* -3 (log x)) (* -2 (log x))))> |
#<alt (- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3)))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (* x (- (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (* 6 (/ (log x) (+ (* -3 (log x)) (* -2 (log x)))))))) (+ (* -5/3 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -1 (/ (+ 1 (* -2 (log x))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 1/2 (/ (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 8/3 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (/ 1 (+ (* -3 (log x)) (* -2 (log x))))))))))))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 x))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))> |
#<alt (* -2 (log x))> |
#<alt (+ x (* -2 (log x)))> |
#<alt (+ (* -2 (log x)) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (* -2 (log x)) (* x (+ 1 (* x (+ 1/2 (* -2/3 x))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (- (+ 1 (* 1/2 (/ 1 x))) (/ 2/3 (pow x 2))) x)> |
#<alt (/ (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) (/ 2/3 (pow x 2))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- 2/3 (* 1/4 (/ 1 x))) x))) x)) 1) x))> |
#<alt (- (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -2 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (/ 1 (+ (* -3 (log x)) (* -2 (log x)))))))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -2 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* x (- (+ (* -15 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -1 (/ (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 8/3 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (/ 1 (+ (* -3 (log x)) (* -2 (log x)))))))))) (+ (* -20/3 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -2 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 1/2 (/ (- (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (+ (* 6 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (/ 1 (pow (+ (* -3 (log x)) (* -2 (log x))) 2))))))))) (/ 1 (+ (* -3 (log x)) (* -2 (log x))))))))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (log -1)) 1/2) (log -1))) (+ (* 1/2 (/ 1 (log -1))) (/ 1 (pow (log -1) 2)))) (+ 1/3 (/ 1 (log -1)))) x))) x)) 1) x)) (log -1))> |
#<alt (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2)))> |
#<alt (- (+ (* 4 (* x (log x))) (* 9 (pow (log x) 2))) (* 4 (pow (log x) 2)))> |
#<alt (- (+ (* 9 (pow (log x) 2)) (* x (- (* -1 (* x (+ 1 (* -2 (log x))))) (* -4 (log x))))) (* 4 (pow (log x) 2)))> |
#<alt (- (+ (* 9 (pow (log x) 2)) (* x (- (* x (- (* x (- (* 6 (log x)) (+ 1 (* 8/3 (log x))))) (+ 1 (* -2 (log x))))) (* -4 (log x))))) (* 4 (pow (log x) 2)))> |
#<alt (pow (log -1) 2)> |
#<alt (- (pow (log -1) 2) (/ 1 (pow x 2)))> |
#<alt (- (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))> |
#<alt (- (+ (* -2 (/ (log -1) (pow x 3))) (+ (* 13/12 (/ 1 (pow x 4))) (pow (log -1) 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))> |
#<alt (pow (log -1) 2)> |
#<alt (- (pow (log -1) 2) (/ 1 (pow x 2)))> |
#<alt (- (+ (* -1 (/ (+ 1 (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) (/ 1 (pow x 2)))> |
#<alt (- (+ (* -1 (/ (- (+ 1 (* 2 (log -1))) (* 13/12 (/ 1 x))) (pow x 3))) (pow (log -1) 2)) (/ 1 (pow x 2)))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (* -3 (log x))> |
#<alt (+ (* -3 (log x)) (* -1 (pow x 3)))> |
#<alt (+ (* -3 (log x)) (* (pow x 3) (- (* -1/2 (pow x 3)) 1)))> |
#<alt (+ (* -3 (log x)) (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (pow x 3)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6)))) (/ 1 (pow x 3)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (pow x 3)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3))))> |
#<alt (* 9 (pow (log x) 2))> |
#<alt (+ (* 6 (* (pow x 3) (log x))) (* 9 (pow (log x) 2)))> |
#<alt (+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (* 3 (log x)))))))> |
#<alt (+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (+ (* 3 (log x)) (* (pow x 3) (+ 1 (* 2 (log x))))))))))> |
#<alt (pow (log -1) 2)> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2))))> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2))))))> |
#<alt (pow (log -1) 2)> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (neg (/ (- (* (log (+ (/ 1 (* x (* x x))) -1)) (log (+ (/ 1 (* x (* x x))) -1))) (* (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))) (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))) (+ (log (+ (/ 1 (* x (* x x))) -1)) (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x))))))) |
| 2.0ms | x | @ | 0 | (/ (- (* (log (+ (/ 1 (* x (* x x))) -1)) (log (+ (/ 1 (* x (* x x))) -1))) (* (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))) (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))) (+ (log (+ (/ 1 (* x (* x x))) -1)) (log (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))) |
| 1.0ms | x | @ | 0 | (log (+ (/ 1 (* x (* x x))) -1)) |
| 1.0ms | x | @ | inf | (log (+ (/ 1 (* x (* x x))) -1)) |
| 1.0ms | x | @ | -inf | (log (+ (/ 1 (* x (* x x))) -1)) |
| 1× | egg-herbie |
| 8 464× | lower-fma.f64 |
| 8 464× | lower-fma.f32 |
| 5 596× | lower-+.f64 |
| 5 596× | lower-+.f32 |
| 4 030× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 432 | 2695 |
| 1 | 1295 | 2426 |
| 2 | 4117 | 1897 |
| 0 | 8475 | 1801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ x (log x)) |
(+ x (log x)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (+ (* -3 (log x)) (* -2 (log x)))) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3)))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (* x (- (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (* 6 (/ (log x) (+ (* -3 (log x)) (* -2 (log x)))))))) (+ (* -5/3 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -1 (/ (+ 1 (* -2 (log x))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 1/2 (/ (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 8/3 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (/ 1 (+ (* -3 (log x)) (* -2 (log x))))))))))))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log 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)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -2 (log x)) |
(+ x (* -2 (log x))) |
(+ (* -2 (log x)) (* x (+ 1 (* 1/2 x)))) |
(+ (* -2 (log x)) (* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/2 (/ 1 x))) (/ 2/3 (pow x 2))) x) |
(/ (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) (/ 2/3 (pow x 2))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- 2/3 (* 1/4 (/ 1 x))) x))) x)) 1) x)) |
(- (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -2 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (/ 1 (+ (* -3 (log x)) (* -2 (log x)))))))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(- (+ (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -2 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* x (- (+ (* -15 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* -1 (/ (+ (* -9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (* 9/2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 8/3 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (/ 1 (+ (* -3 (log x)) (* -2 (log x)))))))))) (+ (* -20/3 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -2 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 1/2 (/ (- (* -4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (+ (* 6 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (/ 1 (pow (+ (* -3 (log x)) (* -2 (log x))) 2))))))))) (/ 1 (+ (* -3 (log x)) (* -2 (log x))))))))) (+ (* -4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 2 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log 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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (log -1)) 1/2) (log -1))) (+ (* 1/2 (/ 1 (log -1))) (/ 1 (pow (log -1) 2)))) (+ 1/3 (/ 1 (log -1)))) x))) x)) 1) x)) (log -1)) |
(- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) |
(- (+ (* 4 (* x (log x))) (* 9 (pow (log x) 2))) (* 4 (pow (log x) 2))) |
(- (+ (* 9 (pow (log x) 2)) (* x (- (* -1 (* x (+ 1 (* -2 (log x))))) (* -4 (log x))))) (* 4 (pow (log x) 2))) |
(- (+ (* 9 (pow (log x) 2)) (* x (- (* x (- (* x (- (* 6 (log x)) (+ 1 (* 8/3 (log x))))) (+ 1 (* -2 (log x))))) (* -4 (log x))))) (* 4 (pow (log x) 2))) |
(pow (log -1) 2) |
(- (pow (log -1) 2) (/ 1 (pow x 2))) |
(- (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) |
(- (+ (* -2 (/ (log -1) (pow x 3))) (+ (* 13/12 (/ 1 (pow x 4))) (pow (log -1) 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) |
(pow (log -1) 2) |
(- (pow (log -1) 2) (/ 1 (pow x 2))) |
(- (+ (* -1 (/ (+ 1 (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) (/ 1 (pow x 2))) |
(- (+ (* -1 (/ (- (+ 1 (* 2 (log -1))) (* 13/12 (/ 1 x))) (pow x 3))) (pow (log -1) 2)) (/ 1 (pow x 2))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -3 (log x)) |
(+ (* -3 (log x)) (* -1 (pow x 3))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* -1/2 (pow x 3)) 1))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))) |
(log -1) |
(- (log -1) (/ 1 (pow x 3))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6)))) (/ 1 (pow x 3))) |
(log -1) |
(- (log -1) (/ 1 (pow x 3))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3)))) |
(* 9 (pow (log x) 2)) |
(+ (* 6 (* (pow x 3) (log x))) (* 9 (pow (log x) 2))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (* 3 (log x))))))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (+ (* 3 (log x)) (* (pow x 3) (+ 1 (* 2 (log x)))))))))) |
(pow (log -1) 2) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2)))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2)))))) |
(pow (log -1) 2) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))))) |
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x)) x)))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x)) x)))) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))))) |
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(fma.f64 x (/.f64 (log.f64 x) x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(fma.f64 x (/.f64 (log.f64 x) x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(fma.f64 x (/.f64 (log.f64 x) x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(fma.f64 x (neg.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (neg.f64 x))) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(fma.f64 x (neg.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (neg.f64 x))) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(fma.f64 x (neg.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (neg.f64 x))) x) |
(/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (+ (* -3 (log x)) (* -2 (log x)))) |
(*.f64 (*.f64 (log.f64 x) #s(literal -1/5 binary64)) #s(literal 5 binary64)) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 (log.f64 x) #s(literal -1/5 binary64)) #s(literal 5 binary64))) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3)))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(fma.f64 x (+.f64 #s(literal -4/5 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (log.f64 x)) #s(literal -1/125 binary64) (+.f64 (/.f64 #s(literal 16/25 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64))) #s(literal -1/10 binary64)))) #s(literal -1/5 binary64))) (*.f64 (*.f64 (log.f64 x) #s(literal -1/5 binary64)) #s(literal 5 binary64))) |
(- (+ (* 9 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x))))) (* x (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* x (- (+ (* -1 (/ (+ 1 (* -2 (log x))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (* x (- (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))) (+ (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (* 6 (/ (log x) (+ (* -3 (log x)) (* -2 (log x)))))))) (+ (* -5/3 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* -1 (/ (+ 1 (* -2 (log x))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 1/2 (/ (- (+ (* 4 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 8/3 (/ (log x) (+ (* -3 (log x)) (* -2 (log x))))) (+ (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 4))) (/ 1 (+ (* -3 (log x)) (* -2 (log x))))))))))))) (+ (* 1/2 (/ (- (* 9 (pow (log x) 2)) (* 4 (pow (log x) 2))) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (+ (* 4 (/ (log x) (pow (+ (* -3 (log x)) (* -2 (log x))) 2))) (* 4 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 3))))))))) (* 9 (/ (pow (log x) 2) (pow (+ (* -3 (log x)) (* -2 (log x))) 2)))))) (* 4 (/ (pow (log x) 2) (+ (* -3 (log x)) (* -2 (log x)))))) |
(fma.f64 x (+.f64 #s(literal -4/5 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 5 binary64))) (fma.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -1/5 binary64) (pow.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -6/5 binary64) (/.f64 #s(literal 1/10 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64))))) (+.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -25 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/5 binary64) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -8/15 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64))))))) (fma.f64 (/.f64 #s(literal 9 binary64) (log.f64 x)) #s(literal -1/125 binary64) (+.f64 (/.f64 #s(literal 16/25 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64))) #s(literal -1/10 binary64))))) #s(literal -1/5 binary64))) (*.f64 (*.f64 (log.f64 x) #s(literal -1/5 binary64)) #s(literal 5 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
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(log -1) |
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(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2)))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(pow (log -1) 2) |
(pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2/3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 6 116× | lower-fma.f32 |
| 6 114× | lower-fma.f64 |
| 4 208× | lower-/.f32 |
| 4 200× | lower-/.f64 |
| 3 680× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 313 |
| 0 | 57 | 189 |
| 1 | 245 | 136 |
| 2 | 2124 | 136 |
| 0 | 8233 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
(+.f64 x (log.f64 x)) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(log.f64 x) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(+.f64 x (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)) |
(+.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x))) |
(+.f64 (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x)))) (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) x (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x (log.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x (log.f64 x))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x (log.f64 x))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x (log.f64 x)) (-.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 x (log.f64 x)) (-.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (log.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (log.f64 x)) (-.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (+.f64 x (log.f64 x))))))) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)))) (neg.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x)))) |
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(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64))))) (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (log.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))))) |
(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))) |
(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) (exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))) |
Compiled 55 301 to 2 955 computations (94.7% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 928 | 4 | 932 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 929 | 11 | 940 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.3% | (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ✓ | 98.9% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ✓ | 98.5% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
Compiled 140 to 85 computations (39.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | cost-diff | 256 | (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 320 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | cost-diff | 576 | (/.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
| 13 880× | lower-fma.f64 |
| 13 880× | lower-fma.f32 |
| 2 860× | lower-*.f32 |
| 2 850× | lower-*.f64 |
| 2 038× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 551 |
| 0 | 81 | 529 |
| 1 | 160 | 510 |
| 2 | 365 | 462 |
| 3 | 1068 | 436 |
| 4 | 2826 | 436 |
| 5 | 6331 | 436 |
| 0 | 8364 | 424 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) |
(log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 x x) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 x) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 x x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) |
(-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) |
(pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) |
(log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(neg.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) |
(log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 51.2% | (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 39.1% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
| ✓ | accuracy | 23.6% | (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 2.7% | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 2.7% | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
| ✓ | accuracy | 2.7% | #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
| 129.0ms | 256× | 0 | valid |
Compiled 472 to 45 computations (90.5% saved)
ival-div: 31.0ms (28.8% of total)ival-add: 27.0ms (25.1% of total)ival-mult: 22.0ms (20.4% of total)ival-log: 13.0ms (12.1% of total)ival-neg: 6.0ms (5.6% of total)ival-pow2: 4.0ms (3.7% of total)ival-log1p: 3.0ms (2.8% of total)ival-sub: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))> |
#<alt (/.f64 x #s(literal -1 binary64))> |
#<alt (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))> |
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) x))> |
#<alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))> |
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))))> |
#<alt (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))> |
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))> |
#<alt (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))> |
#<alt (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (log x)> |
#<alt (- x (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))> |
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 x) (pow x 2))> |
#<alt (/ (+ 1 x) (pow x 2))> |
#<alt (/ (+ 1 x) (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ (+ 1 (/ 1 x)) x)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 x) (pow x 2))> |
#<alt (/ (+ 1 (* x (+ 1 x))) (pow x 2))> |
#<alt (/ (+ 1 (* x (+ 1 x))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2)))> |
#<alt (- (+ (* -4 (* x (log x))) (* 4 (pow (log x) 2))) (* 9 (pow (log x) 2)))> |
#<alt (- (+ (* 4 (pow (log x) 2)) (* x (+ (* -4 (log x)) (* x (+ 1 (* -2 (log x))))))) (* 9 (pow (log x) 2)))> |
#<alt (- (+ (* 4 (pow (log x) 2)) (* x (+ (* -4 (log x)) (* x (+ 1 (+ (* -2 (log x)) (* x (- (+ 1 (* 8/3 (log x))) (* 6 (log x)))))))))) (* 9 (pow (log x) 2)))> |
#<alt (* -1 (pow (log -1) 2))> |
#<alt (- (/ 1 (pow x 2)) (pow (log -1) 2))> |
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)))> |
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ (* -2 (/ (log -1) (pow x 3))) (+ (* 13/12 (/ 1 (pow x 4))) (pow (log -1) 2))))> |
#<alt (* -1 (pow (log -1) 2))> |
#<alt (- (/ 1 (pow x 2)) (pow (log -1) 2))> |
#<alt (- (+ (* 2 (/ (log -1) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) (pow (log -1) 2))> |
#<alt (- (+ (* -1 (/ (- (* 13/12 (/ 1 x)) (+ 1 (* 2 (log -1)))) (pow x 3))) (/ 1 (pow x 2))) (pow (log -1) 2))> |
#<alt (* -1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x)))> |
#<alt (- (* x (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x))))> |
#<alt (- (* x (- (* x (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))))) (* -1 (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x))))> |
#<alt (- (* x (- (* x (- (* x (- (* -1/5 (/ (- (+ 1 (* 8/3 (log x))) (* 6 (log x))) (log x))) (+ (* -1/5 (/ (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))) (log x))) (+ (* -1/10 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* -1/15 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* -1 (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))))))) (* -1 (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x))))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))> |
#<alt (* -1 (log -1))> |
#<alt (- (/ 1 x) (log -1))> |
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 5/3 (+ (* -1 (/ (+ 1 (* 2 (log -1))) (log -1))) (/ 1 (log -1)))) x))) x)) 1) x)) (log -1))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (* -5 (log x))> |
#<alt (+ x (* -5 (log x)))> |
#<alt (+ (* -5 (log x)) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (* -5 (log x)) (* x (+ 1 (* x (+ 1/2 (* -5/3 x))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (/ 1 x))> |
#<alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x)))> |
#<alt (- (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 5/3 (/ 1 (pow x 3))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (/ 1 x))> |
#<alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 x))) x)) 1) x)))> |
#<alt (* -3 (log x))> |
#<alt (+ (* -3 (log x)) (* -1 (pow x 3)))> |
#<alt (+ (* -3 (log x)) (* (pow x 3) (- (* -1/2 (pow x 3)) 1)))> |
#<alt (+ (* -3 (log x)) (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (pow x 3)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))> |
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6)))) (/ 1 (pow x 3)))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (pow x 3)))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))> |
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3))))> |
#<alt (* -2 (log x))> |
#<alt (+ x (* -2 (log x)))> |
#<alt (+ (* -2 (log x)) (* x (+ 1 (* 1/2 x))))> |
#<alt (+ (* -2 (log x)) (* x (+ 1 (* x (+ 1/2 (* -2/3 x))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (- (+ 1 (* 1/2 (/ 1 x))) (/ 2/3 (pow x 2))) x)> |
#<alt (/ (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) (/ 2/3 (pow x 2))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- 2/3 (* 1/4 (/ 1 x))) x))) x)) 1) x))> |
#<alt (* 9 (pow (log x) 2))> |
#<alt (+ (* 6 (* (pow x 3) (log x))) (* 9 (pow (log x) 2)))> |
#<alt (+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (* 3 (log x)))))))> |
#<alt (+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (+ (* 3 (log x)) (* (pow x 3) (+ 1 (* 2 (log x))))))))))> |
#<alt (pow (log -1) 2)> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2))))> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2))))))> |
#<alt (pow (log -1) 2)> |
#<alt (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (neg (/ (- (neg (pow (log (+ (/ 1 (* x (* x x))) -1)) 2)) (neg (pow (log (+ 1 (+ (/ 1 x) (/ 1 (* x x))))) 2))) (neg (log (* (+ (/ 1 (* x (* x x))) -1) (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))))) |
| 1.0ms | x | @ | -inf | (neg (/ (- (neg (pow (log (+ (/ 1 (* x (* x x))) -1)) 2)) (neg (pow (log (+ 1 (+ (/ 1 x) (/ 1 (* x x))))) 2))) (neg (log (* (+ (/ 1 (* x (* x x))) -1) (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))))) |
| 0.0ms | x | @ | 0 | (- (neg (pow (log (+ (/ 1 (* x (* x x))) -1)) 2)) (neg (pow (log (+ 1 (+ (/ 1 x) (/ 1 (* x x))))) 2))) |
| 0.0ms | x | @ | inf | (neg (/ (- (neg (pow (log (+ (/ 1 (* x (* x x))) -1)) 2)) (neg (pow (log (+ 1 (+ (/ 1 x) (/ 1 (* x x))))) 2))) (neg (log (* (+ (/ 1 (* x (* x x))) -1) (+ (/ 1 (* x x)) (+ 1 (/ 1 x)))))))) |
| 0.0ms | x | @ | inf | (- (neg (pow (log (+ (/ 1 (* x (* x x))) -1)) 2)) (neg (pow (log (+ 1 (+ (/ 1 x) (/ 1 (* x x))))) 2))) |
| 1× | egg-herbie |
| 9 698× | lower-fma.f64 |
| 9 698× | lower-fma.f32 |
| 4 954× | lower-+.f64 |
| 4 954× | lower-+.f32 |
| 4 030× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 2549 |
| 1 | 1001 | 2449 |
| 2 | 2915 | 2237 |
| 0 | 9053 | 2137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 -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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (/ 1 x)) x) |
(/ 1 (pow x 2)) |
(/ (+ 1 x) (pow x 2)) |
(/ (+ 1 (* x (+ 1 x))) (pow x 2)) |
(/ (+ 1 (* x (+ 1 x))) (pow x 2)) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) |
(- (+ (* -4 (* x (log x))) (* 4 (pow (log x) 2))) (* 9 (pow (log x) 2))) |
(- (+ (* 4 (pow (log x) 2)) (* x (+ (* -4 (log x)) (* x (+ 1 (* -2 (log x))))))) (* 9 (pow (log x) 2))) |
(- (+ (* 4 (pow (log x) 2)) (* x (+ (* -4 (log x)) (* x (+ 1 (+ (* -2 (log x)) (* x (- (+ 1 (* 8/3 (log x))) (* 6 (log x)))))))))) (* 9 (pow (log x) 2))) |
(* -1 (pow (log -1) 2)) |
(- (/ 1 (pow x 2)) (pow (log -1) 2)) |
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2))) |
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ (* -2 (/ (log -1) (pow x 3))) (+ (* 13/12 (/ 1 (pow x 4))) (pow (log -1) 2)))) |
(* -1 (pow (log -1) 2)) |
(- (/ 1 (pow x 2)) (pow (log -1) 2)) |
(- (+ (* 2 (/ (log -1) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) (pow (log -1) 2)) |
(- (+ (* -1 (/ (- (* 13/12 (/ 1 x)) (+ 1 (* 2 (log -1)))) (pow x 3))) (/ 1 (pow x 2))) (pow (log -1) 2)) |
(* -1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x))) |
(- (* x (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x)))) |
(- (* x (- (* x (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))))) (* -1 (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log x)))) |
(- (* x (- (* x (- (* x (- (* -1/5 (/ (- (+ 1 (* 8/3 (log x))) (* 6 (log x))) (log x))) (+ (* -1/5 (/ (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))) (log x))) (+ (* -1/10 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* -1/15 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* -1 (- (* -1/5 (/ (+ 1 (* -2 (log x))) (log x))) (+ (* -1/5 (/ (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))) (log x))) (* 1/50 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2)))))))) (* -1 (- 4/5 (* 1/25 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (pow (log x) 2))))))) (* 1/5 (/ (- (* 4 (pow (log x) 2)) (* 9 (pow (log x) 2))) (log 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)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 5/3 (+ (* -1 (/ (+ 1 (* 2 (log -1))) (log -1))) (/ 1 (log -1)))) x))) x)) 1) x)) (log -1)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 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)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -5 (log x)) |
(+ x (* -5 (log x))) |
(+ (* -5 (log x)) (* x (+ 1 (* 1/2 x)))) |
(+ (* -5 (log x)) (* x (+ 1 (* x (+ 1/2 (* -5/3 x)))))) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(- (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 5/3 (/ 1 (pow x 3)))) |
(log -1) |
(+ (log -1) (/ 1 x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 x))) x)) 1) x))) |
(* -3 (log x)) |
(+ (* -3 (log x)) (* -1 (pow x 3))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* -1/2 (pow x 3)) 1))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))) |
(log -1) |
(- (log -1) (/ 1 (pow x 3))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6)))) (/ 1 (pow x 3))) |
(log -1) |
(- (log -1) (/ 1 (pow x 3))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3)))) |
(* -2 (log x)) |
(+ x (* -2 (log x))) |
(+ (* -2 (log x)) (* x (+ 1 (* 1/2 x)))) |
(+ (* -2 (log x)) (* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/2 (/ 1 x))) (/ 2/3 (pow x 2))) x) |
(/ (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) (/ 2/3 (pow x 2))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- 2/3 (* 1/4 (/ 1 x))) x))) x)) 1) x)) |
(* 9 (pow (log x) 2)) |
(+ (* 6 (* (pow x 3) (log x))) (* 9 (pow (log x) 2))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (* 3 (log x))))))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (+ (* 3 (log x)) (* (pow x 3) (+ 1 (* 2 (log x)))))))))) |
(pow (log -1) 2) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2)))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2)))))) |
(pow (log -1) 2) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))) x) (log.f64 #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 x (log.f64 x)) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))) x) (log.f64 #s(literal -1 binary64))) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x))) x) |
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(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)) x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)) x))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -5 (log x)) |
(*.f64 (log.f64 x) #s(literal -5 binary64)) |
(+ x (* -5 (log x))) |
(fma.f64 (log.f64 x) #s(literal -5 binary64) x) |
(+ (* -5 (log x)) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal -5 binary64) x)) |
(+ (* -5 (log x)) (* x (+ 1 (* x (+ 1/2 (* -5/3 x)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/3 binary64) #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal -5 binary64) x)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (/ 1 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(- (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 5/3 (/ 1 (pow x 3)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/3 binary64) x)) x) x))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (/ 1 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/3 binary64) x)) x)) x)) |
(* -3 (log x)) |
(*.f64 (log.f64 x) #s(literal -3 binary64)) |
(+ (* -3 (log x)) (* -1 (pow x 3))) |
(-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* -1/2 (pow x 3)) 1))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(+ (* -3 (log x)) (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 (pow x 3))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6)))) (/ 1 (pow x 3))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 (pow x 3))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) |
(* -2 (log x)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(+ x (* -2 (log x))) |
(fma.f64 (log.f64 x) #s(literal -2 binary64) x) |
(+ (* -2 (log x)) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal -2 binary64) x)) |
(+ (* -2 (log x)) (* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))) |
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal -2 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/ (- (+ 1 (* 1/2 (/ 1 x))) (/ 2/3 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) x)) x)) x) |
(/ (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) (/ 2/3 (pow x 2))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) x)) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) x)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- 2/3 (* 1/4 (/ 1 x))) x))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) (neg.f64 x)) |
(* 9 (pow (log x) 2)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64)) |
(+ (* 6 (* (pow x 3) (log x))) (* 9 (pow (log x) 2))) |
(*.f64 (log.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64) (*.f64 (log.f64 x) #s(literal 9 binary64)))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (* 3 (log x))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (log.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64))) |
(+ (* 9 (pow (log x) 2)) (* (pow x 3) (+ (* 6 (log x)) (* (pow x 3) (+ 1 (+ (* 3 (log x)) (* (pow x 3) (+ 1 (* 2 (log x)))))))))) |
(fma.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal 9 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64))) (*.f64 (fma.f64 x (*.f64 x x) (fma.f64 (log.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(pow (log -1) 2) |
(pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (/ 1 (pow x 6)) (pow (log -1) 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(+ (* -2 (/ (log -1) (pow x 3))) (+ (* -1 (/ (log -1) (pow x 6))) (+ (* -2/3 (/ (log -1) (pow x 9))) (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 9)) (pow (log -1) 2)))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))))))) |
(pow (log -1) 2) |
(pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (* -2 (/ (log -1) (pow x 3))) (pow (log -1) 2)) |
(fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (log -1))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (log -1)) (* -1 (/ (- (* 2/3 (log -1)) 1) (pow x 3))))) (pow x 3))) (* 2 (log -1))) (pow x 3))) (pow (log -1) 2)) |
(-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2/3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 3 676× | lower-fma.f64 |
| 3 676× | lower-fma.f32 |
| 3 376× | lower-/.f32 |
| 3 358× | lower-/.f64 |
| 2 720× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 358 |
| 0 | 81 | 318 |
| 1 | 327 | 260 |
| 2 | 2807 | 258 |
| 0 | 9587 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
x |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 x #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) x) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) x) |
(*.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))) |
x |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 x #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
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(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(-.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) x))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(-.f64 (log.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))) |
(log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(log1p.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
Compiled 39 624 to 3 532 computations (91.1% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 944 | 7 | 951 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 1 | 6 | 7 |
| Total | 949 | 13 | 962 |
| Status | Accuracy | Program |
|---|---|---|
| 21.3% | (/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) | |
| ✓ | 51.2% | (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
| ✓ | 98.9% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| ✓ | 98.5% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) | |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) | |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) | |
| 4.2% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
Compiled 448 to 176 computations (60.7% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
5 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) x) |
| 7.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 6.0ms | x |
| 6.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 100.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 100.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
5 calls:
| 15.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 6.0ms | (/.f64 #s(literal 1 binary64) x) |
| 5.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
5 calls:
| 6.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 98.9% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 98.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 98.9% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
5 calls:
| 7.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 98.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 98.5% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.5% | 1 | x |
| 98.5% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 27 to 19 computations (29.6% saved)
Total -1.0b remaining (-1.7%)
Threshold costs -1b (-1.7%)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
5 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.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))) |
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.2% | 1 | x |
| 4.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 1× | egg-herbie |
| 10× | neg-mul-1_binary64 |
| 8× | *-commutative_binary64 |
| 8× | unsub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 69 |
| 1 | 38 | 69 |
| 2 | 43 | 69 |
| 3 | 49 | 69 |
| 4 | 56 | 69 |
| 5 | 65 | 69 |
| 1× | saturated |
| 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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 9 908× | lower-fma.f64 |
| 9 908× | lower-fma.f32 |
| 6 116× | lower-fma.f32 |
| 6 114× | lower-fma.f64 |
| 5 216× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 313 |
| 0 | 57 | 189 |
| 1 | 245 | 136 |
| 2 | 2124 | 136 |
| 0 | 8233 | 124 |
| 0 | 75 | 313 |
| 1 | 190 | 292 |
| 2 | 397 | 290 |
| 3 | 962 | 280 |
| 4 | 1965 | 278 |
| 5 | 4210 | 278 |
| 6 | 5604 | 278 |
| 7 | 5777 | 278 |
| 8 | 5792 | 278 |
| 9 | 5792 | 278 |
| 10 | 5792 | 278 |
| 11 | 5967 | 278 |
| 12 | 5993 | 278 |
| 13 | 5993 | 278 |
| 0 | 5993 | 270 |
| 0 | 50 | 358 |
| 0 | 81 | 318 |
| 1 | 327 | 260 |
| 2 | 2807 | 258 |
| 0 | 9587 | 236 |
| 0 | 113 | 1122 |
| 1 | 305 | 1057 |
| 2 | 669 | 1029 |
| 3 | 2542 | 970 |
| 4 | 6545 | 965 |
| 0 | 8020 | 921 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 70 to 44 computations (37.1% saved)
Compiled 70 to 42 computations (40% saved)
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