
Time bar (total: 4.1s)
| 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 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 364.0ms | 8 256× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-atanh: 143.0ms (92.4% of total)ival-true: 6.0ms (3.9% of total)ival-assert: 3.0ms (1.9% of total)adjust: 2.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) 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 |
| 33.0ms | 512× | 0 | valid |
Compiled 92 to 31 computations (66.3% saved)
ival-mult: 9.0ms (45.1% of total)ival-sub: 3.0ms (15% of total)ival-div: 3.0ms (15% of total)ival-log1p: 3.0ms (15% of total)exact: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 40 | 10 |
| 3 | 108 | 10 |
| 4 | 444 | 10 |
| 5 | 2290 | 10 |
| 6 | 5655 | 10 |
| 0 | 8065 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 10 to 9 computations (10% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 24 | 35 |
| 2 | 40 | 35 |
| 3 | 108 | 35 |
| 4 | 444 | 35 |
| 5 | 2290 | 35 |
| 6 | 5655 | 35 |
| 0 | 8065 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.00390625 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 30.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-sub: 16.0ms (68.1% of total)ival-mult: 3.0ms (12.8% of total)ival-div: 2.0ms (8.5% of total)ival-log1p: 2.0ms (8.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 386 | 291 |
| 2 | 1450 | 282 |
| 3 | 7495 | 282 |
| 0 | 8200 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 53 | 28 |
| 0 | 365 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(log.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
Compiled 950 to 250 computations (73.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 7 | 53 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 7 | 54 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 98.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
Compiled 278 to 204 computations (26.6% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 339 |
| 0 | 62 | 323 |
| 1 | 111 | 323 |
| 2 | 309 | 323 |
| 3 | 1331 | 323 |
| 4 | 5641 | 323 |
| 0 | 8328 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
#s(literal 2/7 binary64) |
(*.f64 x x) |
x |
#s(literal 2/5 binary64) |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
#s(literal 2/7 binary64) |
(*.f64 x x) |
x |
#s(literal 2/5 binary64) |
#s(literal 2/3 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) | |
| accuracy | 0.2697568770438222 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.3758836763692306 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.518363117406401 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.8663826151959139 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.00390625 | (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
| 243.0ms | 256× | 0 | valid |
Compiled 269 to 34 computations (87.4% saved)
ival-add: 49.0ms (35.1% of total)ival-mult: 41.0ms (29.4% of total)ival-div: 35.0ms (25.1% of total)const: 9.0ms (6.5% of total)ival-log1p: 3.0ms (2.2% of total)ival-sub: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(pow x 2) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
2/5 |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
| 3.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 696 |
| 1 | 616 | 684 |
| 2 | 2248 | 674 |
| 0 | 8448 | 640 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(pow x 2) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
2/5 |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
2/5 |
#s(literal 2/5 binary64) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) |
(* 2/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* 2/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -2/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 2/5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/5 binary64)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -2/5 binary64))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 2/7 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 2/7 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 2/5 (pow x 2)) |
(*.f64 #s(literal 2/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 2/7 (pow x 2)) |
(*.f64 #s(literal 2/7 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(* 2/7 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/7 binary64)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) x) x) #s(literal 2/7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 309 |
| 0 | 62 | 293 |
| 0 | 233 | 293 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
| Outputs |
|---|
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) |
(+.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (*.f64 #s(literal 2/7 binary64) (*.f64 x x))) #s(literal 4/25 binary64)) (-.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8/125 binary64)) (fma.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64))))) |
(fma.f64 (*.f64 #s(literal 2/7 binary64) x) x #s(literal 2/5 binary64)) |
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) |
(+.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) |
(+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)) #s(literal 4/9 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x #s(literal 2/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)) |
Compiled 4 903 to 757 computations (84.6% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 1 | 161 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 161 | 7 | 168 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
Compiled 139 to 101 computations (27.3% saved)
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 1 | (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 101 |
| 0 | 35 | 101 |
| 1 | 71 | 101 |
| 2 | 211 | 101 |
| 3 | 796 | 101 |
| 4 | 4044 | 101 |
| 0 | 8083 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal -2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.00390625 | (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0234375 | (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.518363117406401 | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
| 178.0ms | 256× | 0 | valid |
Compiled 101 to 24 computations (76.2% saved)
const: 89.0ms (58.3% of total)ival-mult: 44.0ms (28.8% of total)ival-pow: 5.0ms (3.3% of total)ival-div: 4.0ms (2.6% of total)ival-add: 4.0ms (2.6% of total)ival-log1p: 4.0ms (2.6% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 3) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)) (/ (* x 2) (- 1 (* x x))) (* 1/2 (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x))))) (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)))) (- 1 (* x x))) |
| 2.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)) (/ (* x 2) (- 1 (* x x))) (* 1/2 (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x))))) (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)))) (- 1 (* x x))) |
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)) (/ (* x 2) (- 1 (* x x))) (* 1/2 (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x))))) (log (+ 1 (* (/ (* x 2) (- 1 (* x x))) (+ 1 x)))) (- 1 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 475 |
| 1 | 545 | 457 |
| 2 | 2151 | 438 |
| 0 | 8471 | 414 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 3) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))) x) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #s(literal -2 binary64)) (neg.f64 x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 85 |
| 0 | 35 | 85 |
| 0 | 150 | 83 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) |
(+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(log.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
Compiled 1 702 to 362 computations (78.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 1 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 70 | 7 | 77 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
Compiled 141 to 101 computations (28.4% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 0 | 18 | 39 |
| 1 | 35 | 33 |
| 2 | 89 | 33 |
| 3 | 257 | 33 |
| 4 | 603 | 33 |
| 5 | 2057 | 33 |
| 0 | 8316 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.078125 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.518363117406401 | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
| 35.0ms | 256× | 0 | valid |
Compiled 33 to 15 computations (54.5% saved)
ival-mult: 6.0ms (32.9% of total)const: 4.0ms (21.9% of total)ival-add: 3.0ms (16.4% of total)ival-div: 2.0ms (11% of total)ival-log1p: 2.0ms (11% of total)ival-sub: 1.0ms (5.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) |
(*.f64 x x) |
| Outputs |
|---|
(pow x 3) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 2) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | -inf | ((* (* x x) x) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x)) |
| 1.0ms | x | @ | inf | ((* (* x x) x) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x)) |
| 1.0ms | x | @ | 0 | ((* (* x x) x) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 134 |
| 1 | 168 | 126 |
| 2 | 559 | 124 |
| 3 | 2429 | 124 |
| 0 | 8151 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 2) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 37 |
| 0 | 18 | 31 |
| 1 | 80 | 30 |
| 0 | 676 | 29 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x) x) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) |
(+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 1 439 to 236 computations (83.6% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 0 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 57 | 7 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.4% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.2% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 98.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| ✓ | 99.2% | #s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
Compiled 330 to 165 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
4 calls:
| 9.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 100.0% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | x |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 99.6% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.6% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.6% | 1 | x |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
4 calls:
| 22.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 99.4% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.4% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.4% | 1 | x |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
4 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 99.2% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.2% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.2% | 1 | x |
Compiled 26 to 23 computations (11.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
4 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 98.6% | 1 | (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 98.6% | 1 | (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 98.6% | 1 | x |
Compiled 26 to 23 computations (11.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 104 |
| 1 | 55 | 104 |
| 2 | 77 | 104 |
| 3 | 157 | 104 |
| 4 | 738 | 104 |
| 5 | 7271 | 104 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 696 |
| 1 | 616 | 684 |
| 2 | 2248 | 674 |
| 0 | 8448 | 640 |
| 0 | 106 | 302 |
| 1 | 386 | 291 |
| 2 | 1450 | 282 |
| 3 | 7495 | 282 |
| 0 | 8200 | 262 |
| 0 | 23 | 85 |
| 0 | 35 | 85 |
| 0 | 150 | 83 |
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 53 | 28 |
| 0 | 365 | 28 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 104 to 44 computations (57.7% saved)
Compiled 228 to 106 computations (53.5% saved)
Loading profile data...