
Time bar (total: 10.0s)
| 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% | 100% | 0% | 0% | 0% | 0% | 3 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 4 |
| 60% | 37.5% | 25% | 0% | 0% | 37.5% | 0% | 5 |
| 77.8% | 43.7% | 12.5% | 0% | 0% | 43.7% | 0% | 6 |
| 88.2% | 46.9% | 6.2% | 0% | 0% | 46.9% | 0% | 7 |
| 93.9% | 48.4% | 3.1% | 0% | 0% | 48.4% | 0% | 8 |
| 96.9% | 49.2% | 1.6% | 0% | 0% | 49.2% | 0% | 9 |
| 98.4% | 49.6% | 0.8% | 0% | 0% | 49.6% | 0% | 10 |
| 99.2% | 49.8% | 0.4% | 0% | 0% | 49.8% | 0% | 11 |
| 99.6% | 49.9% | 0.2% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.4s | 8 256× | 0 | valid |
| 1.0ms | 23× | 0 | invalid |
ival-sub: 389.0ms (38.8% of total)ival-sqrt: 308.0ms (30.7% of total)ival-mult: 99.0ms (9.9% of total)ival-atan: 98.0ms (9.8% of total)ival-div: 53.0ms (5.3% of total)ival-add: 39.0ms (3.9% of total)exact: 8.0ms (0.8% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 132× | lower-*.f32 |
| 130× | lower-*.f64 |
| 84× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 31 | 22 |
| 2 | 59 | 22 |
| 3 | 108 | 22 |
| 4 | 180 | 22 |
| 5 | 350 | 22 |
| 6 | 620 | 22 |
| 7 | 647 | 22 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 24 | 11 |
| 2 | 30 | 11 |
| 3 | 41 | 11 |
| 4 | 64 | 11 |
| 5 | 98 | 11 |
| 6 | 135 | 11 |
| 7 | 208 | 11 |
| 8 | 330 | 11 |
| 9 | 498 | 11 |
| 10 | 529 | 11 |
| 0 | 529 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 51.0ms | 512× | 0 | valid |
Compiled 116 to 40 computations (65.5% saved)
ival-div: 16.0ms (43.2% of total)ival-add: 5.0ms (13.5% of total)ival-atan: 5.0ms (13.5% of total)ival-sqrt: 4.0ms (10.8% of total)ival-mult: 3.0ms (8.1% of total)ival-sub: 3.0ms (8.1% of total)exact: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 132× | lower-*.f32 |
| 130× | lower-*.f64 |
| 74× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 15 | 44 |
| 1 | 24 | 44 |
| 2 | 30 | 44 |
| 3 | 41 | 44 |
| 4 | 64 | 44 |
| 5 | 98 | 44 |
| 6 | 135 | 44 |
| 7 | 208 | 44 |
| 8 | 330 | 44 |
| 9 | 498 | 44 |
| 10 | 529 | 44 |
| 0 | 529 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 33.0ms | 256× | 0 | valid |
Compiled 46 to 11 computations (76.1% saved)
ival-mult: 7.0ms (44.8% of total)ival-div: 2.0ms (12.8% of total)ival-atan: 2.0ms (12.8% of total)ival-sub: 2.0ms (12.8% of total)ival-sqrt: 2.0ms (12.8% of total)ival-add: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))> |
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))> |
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))> |
| Outputs |
|---|
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))> |
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))> |
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))> |
#<alt -1> |
#<alt (- (* 2 (/ 1 x)) 1)> |
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | -inf | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | inf | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | 0 | (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
| 0.0ms | x | @ | -inf | (sqrt (/ (- 1 x) (+ 1 x))) |
| 1× | batch-egg-rewrite |
| 2 152× | lower-fma.f64 |
| 2 152× | lower-fma.f32 |
| 2 042× | lower-*.f32 |
| 2 040× | lower-*.f64 |
| 1 870× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 36 |
| 1 | 52 | 36 |
| 2 | 339 | 36 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
| 1× | egg-herbie |
| 10 954× | lower-fma.f64 |
| 10 954× | lower-fma.f32 |
| 2 906× | lower-*.f64 |
| 2 906× | lower-*.f32 |
| 1 802× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2114 | 454 |
| 4 | 6114 | 448 |
| 0 | 8084 | 437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
Compiled 602 to 103 computations (82.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 4 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 5 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ▶ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ▶ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 49 to 40 computations (18.4% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| 2 760× | lower-fma.f32 |
| 2 750× | lower-fma.f64 |
| 760× | lower-*.f32 |
| 752× | lower-*.f64 |
| 464× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 109 |
| 0 | 39 | 109 |
| 1 | 72 | 109 |
| 2 | 127 | 109 |
| 3 | 192 | 109 |
| 4 | 294 | 109 |
| 5 | 513 | 109 |
| 6 | 1033 | 109 |
| 7 | 1879 | 109 |
| 8 | 2244 | 109 |
| 9 | 2354 | 109 |
| 10 | 2357 | 109 |
| 11 | 2357 | 109 |
| 0 | 2357 | 109 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 2 binary64) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 2 binary64) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (atan.f64 (-.f64 #s(literal 1 binary64) x)) |
| 47.0ms | 256× | 0 | valid |
Compiled 130 to 27 computations (79.2% saved)
ival-mult: 16.0ms (49.1% of total)ival-atan: 8.0ms (24.6% of total)ival-add: 6.0ms (18.4% of total)ival-sub: 2.0ms (6.1% of total)exact: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))> |
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))> |
#<alt (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))> |
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))> |
#<alt (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))> |
#<alt (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))> |
#<alt (atan.f64 #s(literal 1 binary64))> |
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (- 1 x)))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (* 2 (atan (+ 1 (* -1 x))))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (- 1 x))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt (atan (+ 1 (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* 1/2 x) 1)> |
#<alt (* 1/2 x)> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))))> |
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))> |
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/2 x))) 1)> |
#<alt (- (* x (+ 1/2 (* -1/2 x))) 1)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (* 2 (atan (+ (* x (+ (* x (+ (* x -1/2) 1/2)) -1)) 1))) |
| 1.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x -1/2) 1/2)) -1)) 1) |
| 1.0ms | x | @ | 0 | (* 2 (atan (+ (* x (+ (* x 1/2) -1)) 1))) |
| 1.0ms | x | @ | inf | (* 2 (atan (+ (* x (+ (* x (+ (* x -1/2) 1/2)) -1)) 1))) |
| 0.0ms | x | @ | 0 | (* 2 (atan (+ (* x (+ (* x (+ (* x -1/2) 1/2)) -1)) 1))) |
| 1× | batch-egg-rewrite |
| 10 416× | lower-fma.f32 |
| 10 406× | lower-fma.f64 |
| 5 002× | lower-*.f32 |
| 4 994× | lower-*.f64 |
| 3 892× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 93 |
| 0 | 39 | 93 |
| 1 | 141 | 93 |
| 2 | 1015 | 93 |
| 0 | 8699 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
| 1× | egg-herbie |
| 9 178× | lower-fma.f64 |
| 9 178× | lower-fma.f32 |
| 2 468× | lower-*.f64 |
| 2 468× | lower-*.f32 |
| 1 266× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1164 |
| 1 | 252 | 1160 |
| 2 | 726 | 1152 |
| 3 | 2192 | 1148 |
| 4 | 5581 | 1094 |
| 0 | 8162 | 964 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (- 1 x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (- 1 x)) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
(atan (+ 1 (* -1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (- 1 x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (+ 1 (* -1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (- 1 x)) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (+ 1 (* -1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* 1/2 x) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) x)) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))) |
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(* 2 (atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (- (+ 1 (* 1/2 (pow x 2))) (+ x (* 1/2 (pow x 3))))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(atan (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))) |
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
Compiled 13 826 to 2 118 computations (84.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 574 | 1 | 575 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 574 | 6 | 580 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.4% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ▶ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 62 to 49 computations (21% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 1216 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
| 16 122× | lower-fma.f64 |
| 16 122× | lower-fma.f32 |
| 2 250× | lower-*.f32 |
| 2 246× | lower-*.f64 |
| 2 100× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 45 |
| 0 | 15 | 45 |
| 1 | 27 | 45 |
| 2 | 38 | 45 |
| 3 | 57 | 45 |
| 4 | 95 | 45 |
| 5 | 157 | 45 |
| 6 | 253 | 27 |
| 7 | 557 | 27 |
| 8 | 1544 | 27 |
| 9 | 5607 | 27 |
| 10 | 7414 | 27 |
| 0 | 8163 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
| 19.0ms | 256× | 0 | valid |
Compiled 47 to 11 computations (76.6% saved)
ival-sub: 3.0ms (24.4% of total)ival-mult: 3.0ms (24.4% of total)ival-atan: 3.0ms (24.4% of total)ival-div: 2.0ms (16.2% of total)ival-add: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))> |
#<alt (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* 2 (atan (/ (- 1 (* x x)) (+ 1 x)))) |
| 0.0ms | x | @ | inf | (/ (- 1 (* x x)) (+ 1 x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (* x x)) (+ 1 x)) |
| 0.0ms | x | @ | -inf | (* 2 (atan (/ (- 1 (* x x)) (+ 1 x)))) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 5 098× | lower-fma.f64 |
| 5 098× | lower-fma.f32 |
| 4 240× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 2 808× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 0 | 15 | 39 |
| 1 | 55 | 21 |
| 2 | 377 | 21 |
| 3 | 5757 | 21 |
| 0 | 9389 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
| 1× | egg-herbie |
| 12 300× | lower-fma.f64 |
| 12 300× | lower-fma.f32 |
| 3 388× | lower-*.f64 |
| 3 388× | lower-*.f32 |
| 1 808× | lower--.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 395 |
| 1 | 62 | 386 |
| 2 | 123 | 386 |
| 3 | 334 | 386 |
| 4 | 799 | 386 |
| 5 | 2133 | 242 |
| 6 | 3864 | 242 |
| 7 | 5508 | 242 |
| 0 | 8077 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (+ 1 x))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))) |
(atan.f64 (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 15 876 to 2 105 computations (86.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 1 | 591 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 591 | 6 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.4% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ▶ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 58 to 47 computations (19% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| 4× | lower-*.f32 |
| 4× | lower-+.f32 |
| 2× | *-commutative |
| 2× | lift-+.f64 |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 11 | 25 |
| 1 | 15 | 25 |
| 0 | 15 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
x |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| 195.0ms | 256× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-atan: 6.0ms (50.5% of total)ival-div: 2.0ms (16.8% of total)ival-add: 2.0ms (16.8% of total)ival-mult: 2.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))> |
#<alt (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
| Outputs |
|---|
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (+ 1 x))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (+ 1 x)))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt (atan (/ 1 (- 1 (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (/ 1 (+ 1 x)) |
| 0.0ms | x | @ | 0 | (* 2 (atan (/ 1 (+ 1 x)))) |
| 0.0ms | x | @ | -inf | (* 2 (atan (/ 1 (+ 1 x)))) |
| 0.0ms | x | @ | inf | (* 2 (atan (/ 1 (+ 1 x)))) |
| 0.0ms | x | @ | inf | (/ 1 (+ 1 x)) |
| 1× | batch-egg-rewrite |
| 4 240× | lower-/.f32 |
| 4 238× | lower-/.f64 |
| 3 786× | lower-fma.f64 |
| 3 786× | lower-fma.f32 |
| 3 474× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 36 | 22 |
| 2 | 177 | 22 |
| 3 | 1278 | 22 |
| 0 | 8603 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 4 712× | lower-fma.f64 |
| 4 712× | lower-fma.f32 |
| 1 188× | lower-*.f64 |
| 1 188× | lower-*.f32 |
| 1 096× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 306 |
| 1 | 119 | 296 |
| 2 | 234 | 292 |
| 3 | 825 | 290 |
| 4 | 2433 | 290 |
| 5 | 4585 | 290 |
| 6 | 5031 | 290 |
| 7 | 5131 | 290 |
| 8 | 5157 | 290 |
| 9 | 5168 | 290 |
| 10 | 5547 | 290 |
| 11 | 5747 | 290 |
| 12 | 5747 | 290 |
| 13 | 5747 | 290 |
| 14 | 5758 | 290 |
| 0 | 5758 | 288 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (+ 1 x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan (/ 1 (- 1 (* -1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (+ 1 x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(* 2 (atan (/ 1 (- 1 (* -1 x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (+ 1 x))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(atan (/ 1 (- 1 (* -1 x)))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 15 669 to 2 361 computations (84.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 1 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 525 | 7 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.4% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.4% | (*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) | |
| ✓ | 99.1% | (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 142 to 91 computations (35.9% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
5 calls:
| 3.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.5% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.4% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.4% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
5 calls:
| 2.0ms | x |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.1% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.1% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.1% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.1% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 3.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | x |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.4% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.4% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 41 to 28 computations (31.7% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 53 |
| 1 | 42 | 53 |
| 2 | 46 | 53 |
| 3 | 48 | 53 |
| 4 | 49 | 53 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
| 12 300× | lower-fma.f64 |
| 12 300× | lower-fma.f32 |
| 10 954× | lower-fma.f64 |
| 10 954× | lower-fma.f32 |
| 10 416× | lower-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 36 |
| 1 | 52 | 36 |
| 2 | 339 | 36 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 0 | 27 | 395 |
| 1 | 62 | 386 |
| 2 | 123 | 386 |
| 3 | 334 | 386 |
| 4 | 799 | 386 |
| 5 | 2133 | 242 |
| 6 | 3864 | 242 |
| 7 | 5508 | 242 |
| 0 | 8077 | 242 |
| 0 | 20 | 93 |
| 0 | 39 | 93 |
| 1 | 141 | 93 |
| 2 | 1015 | 93 |
| 0 | 8699 | 93 |
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2114 | 454 |
| 4 | 6114 | 448 |
| 0 | 8084 | 437 |
| 0 | 46 | 306 |
| 1 | 119 | 296 |
| 2 | 234 | 292 |
| 3 | 825 | 290 |
| 4 | 2433 | 290 |
| 5 | 4585 | 290 |
| 6 | 5031 | 290 |
| 7 | 5131 | 290 |
| 8 | 5157 | 290 |
| 9 | 5168 | 290 |
| 10 | 5547 | 290 |
| 11 | 5747 | 290 |
| 12 | 5747 | 290 |
| 13 | 5747 | 290 |
| 14 | 5758 | 290 |
| 0 | 5758 | 288 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 125 to 84 computations (32.8% saved)
Compiled 132 to 76 computations (42.4% saved)
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