
Time bar (total: 10.3s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 678.0ms | 2 191× | 2 | valid |
| 496.0ms | 4 146× | 0 | valid |
| 315.0ms | 642× | 3 | valid |
| 131.0ms | 1 275× | 1 | valid |
| 2.0ms | 2× | 4 | valid |
ival-cos: 819.0ms (60.1% of total)ival-sin: 176.0ms (12.9% of total)ival-sub: 168.0ms (12.3% of total)ival-div: 106.0ms (7.8% of total)adjust: 76.0ms (5.6% of total)exact: 9.0ms (0.7% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 204× | accelerator-lowering-fma.f32 |
| 204× | accelerator-lowering-fma.f64 |
| 140× | *-lowering-*.f32 |
| 140× | *-lowering-*.f64 |
| 110× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 13 |
| 1 | 38 | 13 |
| 2 | 77 | 12 |
| 3 | 181 | 12 |
| 4 | 444 | 12 |
| 5 | 684 | 12 |
| 6 | 719 | 12 |
| 0 | 6 | 4 |
| 1 | 16 | 4 |
| 2 | 22 | 4 |
| 3 | 33 | 4 |
| 4 | 54 | 4 |
| 5 | 77 | 4 |
| 6 | 110 | 4 |
| 7 | 184 | 4 |
| 8 | 307 | 4 |
| 9 | 515 | 4 |
| 10 | 557 | 4 |
| 11 | 560 | 4 |
| 12 | 568 | 4 |
| 13 | 574 | 4 |
| 14 | 578 | 4 |
| 15 | 585 | 4 |
| 16 | 592 | 4 |
| 17 | 593 | 4 |
| 0 | 593 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
| Outputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos (neg x))) (sin (neg x))) |
(neg (/ (- 1 (cos (neg x))) (sin (neg x)))) |
| Outputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(tan (* x 1/2)) |
(/ (- 1 (cos (neg x))) (sin (neg x))) |
(tan (* x -1/2)) |
(neg (/ (- 1 (cos (neg x))) (sin (neg x)))) |
(tan (* x 1/2)) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 83 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 68 | 0 | - | 5 | (1.0862570717734212e-158) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 83 | 2 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) | u/n | 63 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 146 | 1 |
| - | 0 | 109 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 146 | 1 | 0 |
| - | 0 | 1 | 108 |
| number | freq |
|---|---|
| 0 | 110 |
| 1 | 146 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 168× | 2 | valid |
| 26.0ms | 242× | 0 | valid |
| 15.0ms | 38× | 3 | valid |
| 7.0ms | 64× | 1 | valid |
Compiled 54 to 28 computations (48.1% saved)
ival-cos: 47.0ms (62.3% of total)ival-sin: 11.0ms (14.6% of total)ival-div: 6.0ms (8% of total)adjust: 5.0ms (6.6% of total)ival-sub: 5.0ms (6.6% of total)exact: 1.0ms (1.3% 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 |
|---|---|---|
| ▶ | 49.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 6528 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 204× | accelerator-lowering-fma.f32 |
| 204× | accelerator-lowering-fma.f64 |
| 140× | *-lowering-*.f32 |
| 140× | *-lowering-*.f64 |
| 82× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 16 | 14 |
| 2 | 22 | 14 |
| 3 | 33 | 14 |
| 4 | 54 | 14 |
| 5 | 77 | 14 |
| 6 | 110 | 14 |
| 7 | 184 | 14 |
| 8 | 307 | 14 |
| 9 | 515 | 14 |
| 10 | 557 | 14 |
| 11 | 560 | 14 |
| 12 | 568 | 14 |
| 13 | 574 | 14 |
| 14 | 578 | 14 |
| 15 | 585 | 14 |
| 16 | 592 | 14 |
| 17 | 593 | 14 |
| 0 | 593 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(sin x) |
| Outputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(sin x) |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 75.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | accuracy | 74.2% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 21.0ms | 84× | 2 | valid |
| 15.0ms | 121× | 0 | valid |
| 7.0ms | 19× | 3 | valid |
| 3.0ms | 32× | 1 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-cos: 22.0ms (63% of total)ival-sin: 5.0ms (14.3% of total)ival-div: 3.0ms (8.6% of total)ival-sub: 3.0ms (8.6% of total)adjust: 2.0ms (5.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (sin x)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (- 1 (cos x)) (sin x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (sin x)) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (sin x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 0.0ms | x | @ | 0 | (- 1 (cos x)) |
| 1× | batch-egg-rewrite |
| 4 606× | *-lowering-*.f32 |
| 4 606× | *-lowering-*.f64 |
| 3 722× | /-lowering-/.f32 |
| 3 722× | /-lowering-/.f64 |
| 2 028× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 35 | 12 |
| 2 | 241 | 12 |
| 3 | 2351 | 11 |
| 0 | 8884 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
(cos x) |
(sin x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (cos.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
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(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
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(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
| 1× | egg-herbie |
| 19 148× | accelerator-lowering-fma.f32 |
| 19 148× | accelerator-lowering-fma.f64 |
| 3 796× | *-lowering-*.f32 |
| 3 796× | *-lowering-*.f64 |
| 3 232× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 286 |
| 1 | 224 | 286 |
| 2 | 555 | 280 |
| 3 | 1656 | 280 |
| 4 | 3000 | 280 |
| 5 | 4243 | 280 |
| 6 | 4592 | 280 |
| 7 | 5323 | 280 |
| 8 | 6815 | 280 |
| 0 | 8390 | 256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(* 1/2 (pow x 2)) |
(/.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 15 035 to 1 657 computations (89% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 4 | 663 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 660 | 4 | 664 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) |
| ▶ | 54.3% | (/.f64 x #s(literal 2 binary64)) |
| ▶ | 53.8% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ▶ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 23 to 18 computations (21.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 6464 | (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| 38× | *-lowering-*.f32 |
| 38× | *-lowering-*.f64 |
| 24× | accelerator-lowering-fma.f32 |
| 24× | accelerator-lowering-fma.f64 |
| 12× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 26 | 44 |
| 2 | 41 | 44 |
| 3 | 44 | 44 |
| 0 | 44 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(tan (/ x 2)) |
(/ x 2) |
x |
2 |
(* x (+ 1/2 (* 1/24 (* x x)))) |
x |
(+ 1/2 (* 1/24 (* x x))) |
1/2 |
(* 1/24 (* x x)) |
1/24 |
(* x x) |
(/ x 2) |
x |
2 |
(pow 1 -1/2) |
1 |
-1/2 |
| Outputs |
|---|
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(* x (+ 1/2 (* 1/24 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
x |
(+ 1/2 (* 1/24 (* x x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/24 (* x x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
1/24 |
#s(literal 1/24 binary64) |
(* x x) |
(*.f64 x x) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(pow 1 -1/2) |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| 31.0ms | 256× | 0 | valid |
Compiled 48 to 15 computations (68.8% saved)
ival-mult: 5.0ms (23.7% of total)ival-tan: 5.0ms (23.7% of total)const: 4.0ms (19% of total)ival-add: 3.0ms (14.2% of total)ival-div: 2.0ms (9.5% of total)ival-pow: 2.0ms (9.5% of total)exact: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (tan (/ x 2))> |
#<alt (/ x 2)> |
#<alt (* x (+ 1/2 (* 1/24 (* x x))))> |
#<alt (+ 1/2 (* 1/24 (* x x)))> |
#<alt (* 1/24 (* x x))> |
#<alt (* x x)> |
#<alt (pow 1 -1/2)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ x 2) |
| 1.0ms | x | @ | inf | (* x (+ 1/2 (* 1/24 (* x x)))) |
| 0.0ms | x | @ | 0 | (* x (+ 1/2 (* 1/24 (* x x)))) |
| 0.0ms | x | @ | inf | (tan (/ x 2)) |
| 0.0ms | x | @ | -inf | (tan (/ x 2)) |
| 1× | batch-egg-rewrite |
| 7 928× | accelerator-lowering-fma.f32 |
| 7 928× | accelerator-lowering-fma.f64 |
| 4 610× | *-lowering-*.f32 |
| 4 610× | *-lowering-*.f64 |
| 3 334× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 58 | 32 |
| 2 | 298 | 32 |
| 3 | 2193 | 32 |
| 0 | 8193 | 30 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tan (/ x 2)) |
(/ x 2) |
(* x (+ 1/2 (* 1/24 (* x x)))) |
(+ 1/2 (* 1/24 (* x x))) |
(* 1/24 (* x x)) |
(* x x) |
(pow 1 -1/2) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64))) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64))))) |
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(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 x (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64))) |
(*.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/24 binary64)) x) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))) x) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/24 binary64))) (*.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
#s(literal 1 binary64) |
| 1× | egg-herbie |
| 5 696× | *-lowering-*.f32 |
| 5 696× | *-lowering-*.f64 |
| 4 508× | accelerator-lowering-fma.f32 |
| 4 508× | accelerator-lowering-fma.f64 |
| 2 714× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 420 |
| 1 | 103 | 420 |
| 2 | 269 | 420 |
| 3 | 634 | 420 |
| 4 | 1202 | 420 |
| 5 | 2864 | 420 |
| 6 | 3605 | 420 |
| 7 | 4176 | 420 |
| 8 | 4524 | 420 |
| 9 | 4974 | 420 |
| 10 | 5528 | 420 |
| 11 | 6244 | 420 |
| 12 | 6566 | 420 |
| 13 | 6776 | 420 |
| 14 | 6904 | 420 |
| 15 | 7038 | 420 |
| 16 | 7177 | 420 |
| 0 | 8078 | 396 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 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 9 766 to 930 computations (90.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 4 | 395 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 392 | 7 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (/.f64 x #s(literal 2 binary64)) |
| ▶ | 53.8% | (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
| ▶ | 53.0% | (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
| ✓ | 53.8% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ▶ | 53.2% | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ▶ | 7.6% | #s(literal 1 binary64) |
Compiled 161 to 71 computations (55.9% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| 8 394× | accelerator-lowering-fma.f32 |
| 8 394× | accelerator-lowering-fma.f64 |
| 5 474× | +-lowering-+.f64 |
| 5 474× | +-lowering-+.f32 |
| 5 060× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 496 |
| 1 | 145 | 438 |
| 2 | 524 | 438 |
| 3 | 2157 | 438 |
| 4 | 3307 | 438 |
| 5 | 5676 | 438 |
| 0 | 8655 | 393 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
x |
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(+ 1/4 (* (* x (* x (* x x))) -1/576)) |
1/4 |
(* (* x (* x (* x x))) -1/576) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
-1/576 |
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
1/8 |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(* 1/13824 (* x (* x x))) |
1/13824 |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(+ (* (* x x) 1/576) 1/48) |
(* (* x x) 1/576) |
1/576 |
1/48 |
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))) |
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) |
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
x |
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
1/8 |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(* 1/13824 (* x (* x x))) |
1/13824 |
(* x (* x x)) |
(* x x) |
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) |
1/64 |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))) |
(* (* x x) (- (* (* x x) 1/576) 1/48)) |
(- (* (* x x) 1/576) 1/48) |
(* (* x x) 1/576) |
1/576 |
1/48 |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))) |
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))) |
1/16 |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)) |
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4) |
1/4 |
(- (* x (* x (* x 1/24))) (/ x -2)) |
(* x (* x (* x 1/24))) |
x |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(/ x -2) |
-2 |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) |
x |
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+ 1/4 (* (* x (* x (* x x))) -1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* x (* x (* x x))) -1/576) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-1/576 |
#s(literal -1/576 binary64) |
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/13824 (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) |
1/13824 |
#s(literal 1/13824 binary64) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) |
(+ (* (* x x) 1/576) 1/48) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) |
(* (* x x) 1/576) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
1/576 |
#s(literal 1/576 binary64) |
1/48 |
#s(literal 1/48 binary64) |
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))))))) |
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))))) |
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
x |
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/13824 (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) |
1/13824 |
#s(literal 1/13824 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))) |
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))) |
1/64 |
#s(literal 1/64 binary64) |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))) |
(* (* x x) (- (* (* x x) 1/576) 1/48)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) |
(- (* (* x x) 1/576) 1/48) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) |
(* (* x x) 1/576) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
1/576 |
#s(literal 1/576 binary64) |
1/48 |
#s(literal 1/48 binary64) |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) |
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))) |
1/16 |
#s(literal 1/16 binary64) |
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)) |
(*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64))))) |
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4) |
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(- (* x (* x (* x 1/24))) (/ x -2)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64))) |
(* x (* x (* x 1/24))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
x |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ x -2) |
(/.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
| ✓ | accuracy | 66.5% | (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
| ✓ | accuracy | 57.1% | (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
| ✓ | accuracy | 72.4% | (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | accuracy | 62.4% | (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
| 87.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 648 to 46 computations (92.9% saved)
ival-mult: 26.0ms (41% of total)const: 20.0ms (31.6% of total)ival-add: 7.0ms (11% of total)ival-div: 5.0ms (7.9% of total)ival-sub: 4.0ms (6.3% of total)exact: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))> |
#<alt (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))> |
#<alt (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))> |
#<alt (+ 1/4 (* (* x (* x (* x x))) -1/576))> |
#<alt (* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))> |
#<alt (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))> |
#<alt (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))> |
#<alt (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))> |
#<alt (- (* x (* x (* x 1/24))) (/ x -2))> |
#<alt (* x (* x (* x 1/24)))> |
#<alt (* x (* x 1/24))> |
#<alt (* x 1/24)> |
#<alt (* (* x x) 1/576)> |
#<alt (* 1/13824 (* x (* x x)))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* -1/72 (pow x 4)))> |
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))> |
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))> |
#<alt (/ 24 (pow x 2))> |
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))> |
#<alt (/ 24 (pow x 2))> |
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))> |
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/576 (pow x 4)))> |
#<alt (+ 1/4 (* -1/576 (pow x 4)))> |
#<alt (+ 1/4 (* -1/576 (pow x 4)))> |
#<alt (* -1/576 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* -1/576 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 8 x)> |
#<alt (* x (+ 8 (* 1/108 (pow x 6))))> |
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))> |
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))> |
#<alt (/ 13824 (pow x 5))> |
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))> |
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))> |
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))> |
#<alt (/ 13824 (pow x 5))> |
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))> |
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))> |
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))> |
#<alt (* 1/13824 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* 1/13824 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* 1/13824 (pow x 6)))> |
#<alt (+ 1/8 (* 1/13824 (pow x 6)))> |
#<alt (+ 1/8 (* 1/13824 (pow x 6)))> |
#<alt (* 1/13824 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* 1/13824 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))) |
| 2.0ms | x | @ | 0 | (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 2.0ms | x | @ | inf | (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 2.0ms | x | @ | 0 | (* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))) |
| 1.0ms | x | @ | inf | (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 5 132× | /-lowering-/.f32 |
| 5 132× | /-lowering-/.f64 |
| 5 108× | *-lowering-*.f32 |
| 5 108× | *-lowering-*.f64 |
| 3 360× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 248 |
| 1 | 272 | 208 |
| 2 | 2512 | 208 |
| 0 | 8502 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(+ 1/4 (* (* x (* x (* x x))) -1/576)) |
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))) |
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) |
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
(- (* x (* x (* x 1/24))) (/ x -2)) |
(* x (* x (* x 1/24))) |
(* x (* x 1/24)) |
(* x 1/24) |
(* (* x x) 1/576) |
(* 1/13824 (* x (* x x))) |
| Outputs |
|---|
(+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))) (*.f64 x (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) #s(literal 1/4 binary64))) |
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(*.f64 #s(literal 1/576 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/576 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/13824 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x) |
| 1× | egg-herbie |
| 9 718× | accelerator-lowering-fma.f32 |
| 9 718× | accelerator-lowering-fma.f64 |
| 3 600× | *-lowering-*.f32 |
| 3 600× | *-lowering-*.f64 |
| 2 408× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1190 |
| 1 | 344 | 1190 |
| 2 | 788 | 1187 |
| 3 | 1751 | 1186 |
| 4 | 3987 | 1186 |
| 0 | 8059 | 1111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* -1/72 (pow x 4))) |
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) |
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) |
(/ 24 (pow x 2)) |
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2)) |
(/ 24 (pow x 2)) |
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2)) |
1/4 |
(+ 1/4 (* -1/576 (pow x 4))) |
(+ 1/4 (* -1/576 (pow x 4))) |
(+ 1/4 (* -1/576 (pow x 4))) |
(* -1/576 (pow x 4)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* -1/576 (pow x 4)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 8 x) |
(* x (+ 8 (* 1/108 (pow x 6)))) |
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2)))))) |
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864)))))) |
(/ 13824 (pow x 5)) |
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5)) |
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5)) |
(/ 13824 (pow x 5)) |
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5))) |
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(* 1/13824 (pow x 7)) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* 1/13824 (pow x 7)) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
1/8 |
(+ 1/8 (* 1/13824 (pow x 6))) |
(+ 1/8 (* 1/13824 (pow x 6))) |
(+ 1/8 (* 1/13824 (pow x 6))) |
(* 1/13824 (pow x 6)) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* 1/13824 (pow x 6)) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/72 (pow x 4))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x #s(literal 1/864 binary64)))))) |
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) |
(/ 24 (pow x 2)) |
(/.f64 #s(literal 24 binary64) (*.f64 x x)) |
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x)) |
(/ 24 (pow x 2)) |
(/.f64 #s(literal 24 binary64) (*.f64 x x)) |
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/576 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(+ 1/4 (* -1/576 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(+ 1/4 (* -1/576 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* -1/576 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* -1/576 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 8 x) |
(*.f64 x #s(literal 8 binary64)) |
(* x (+ 8 (* 1/108 (pow x 6)))) |
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/108 binary64)))) |
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/108 binary64) (*.f64 x (*.f64 x #s(literal -1/864 binary64))))))) |
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864)))))) |
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/108 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/864 binary64) (*.f64 (*.f64 x x) #s(literal 1/10368 binary64))))))))) |
(/ 13824 (pow x 5)) |
(/.f64 #s(literal 13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 13824 binary64) (+.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (/.f64 #s(literal 11943936 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5)) |
(/.f64 (+.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (+.f64 #s(literal 13824 binary64) (+.f64 (/.f64 #s(literal 11943936 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 262766592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 13824 (pow x 5)) |
(/.f64 #s(literal 13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5))) |
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 11943936 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 #s(literal 13824 binary64) (-.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -11943936 binary64) (/.f64 #s(literal -262766592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* x (+ 1/8 (* 1/13824 (pow x 6)))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 7)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 7)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(+ 1/8 (* 1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(+ 1/8 (* 1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* 1/13824 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* 1/13824 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6))))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
(* 1/13824 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64)))) |
Compiled 93 040 to 2 752 computations (97% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 955 | 3 | 958 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 3 | 3 |
| Total | 957 | 8 | 965 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | 53.8% | (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
| ✓ | 53.8% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ▶ | 53.4% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ▶ | 53.7% | (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ▶ | 53.8% | (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | 7.6% | #s(literal 1 binary64) |
Compiled 139 to 83 computations (40.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| 18 468× | accelerator-lowering-fma.f32 |
| 18 468× | accelerator-lowering-fma.f64 |
| 5 814× | +-lowering-+.f64 |
| 5 814× | +-lowering-+.f32 |
| 4 700× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 489 |
| 1 | 127 | 431 |
| 2 | 591 | 431 |
| 3 | 2584 | 431 |
| 4 | 4802 | 431 |
| 5 | 6006 | 431 |
| 0 | 8273 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
x |
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(+ 2 (* -1/72 (* x (* x (* x x))))) |
2 |
(* -1/72 (* x (* x (* x x)))) |
-1/72 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
1/4 |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(+ (* (* x x) 1/576) 1/48) |
(* (* x x) 1/576) |
1/576 |
1/48 |
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
x |
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) |
2 |
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))) |
-1/72 |
(* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))) |
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))) |
(+ 1/864 (* (* x (* x (* x x))) -1/124416)) |
1/864 |
(* (* x (* x (* x x))) -1/124416) |
-1/124416 |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
1/4 |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(+ (* (* x x) 1/576) 1/48) |
(* (* x x) 1/576) |
1/576 |
1/48 |
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
x |
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
1/4 |
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
1/8 |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(* 1/13824 (* x (* x x))) |
1/13824 |
(* x (* x x)) |
(* x x) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(+ (* (* x x) 1/576) 1/48) |
(* (* x x) 1/576) |
1/576 |
1/48 |
| Outputs |
|---|
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x)))))) |
x |
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))) |
(+ 2 (* -1/72 (* x (* x (* x x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(* -1/72 (* x (* x (* x x)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x))) |
-1/72 |
#s(literal -1/72 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) |
(+ (* (* x x) 1/576) 1/48) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) |
(* (* x x) 1/576) |
(*.f64 x (*.f64 x #s(literal 1/576 binary64))) |
1/576 |
#s(literal 1/576 binary64) |
1/48 |
#s(literal 1/48 binary64) |
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))))) |
x |
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))))))))) |
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))))))) |
2 |
#s(literal 2 binary64) |
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))))))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))) |
(+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))) |
-1/72 |
#s(literal -1/72 binary64) |
(* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))) |
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))) |
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))) |
(+ 1/864 (* (* x (* x (* x x))) -1/124416)) |
(+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))) |
1/864 |
#s(literal 1/864 binary64) |
(* (* x (* x (* x x))) -1/124416) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))) |
-1/124416 |
#s(literal -1/124416 binary64) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) |
(+ (* (* x x) 1/576) 1/48) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) |
(* (* x x) 1/576) |
(*.f64 x (*.f64 x #s(literal 1/576 binary64))) |
1/576 |
#s(literal 1/576 binary64) |
1/48 |
#s(literal 1/48 binary64) |
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))) |
x |
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))) |
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))) |
1/4 |
#s(literal 1/4 binary64) |
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* 1/13824 (* x (* x x))) (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) |
(* 1/13824 (* x (* x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
1/13824 |
#s(literal 1/13824 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) |
(+ (* (* x x) 1/576) 1/48) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) |
(* (* x x) 1/576) |
(*.f64 x (*.f64 x #s(literal 1/576 binary64))) |
1/576 |
#s(literal 1/576 binary64) |
1/48 |
#s(literal 1/48 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
| ✓ | accuracy | 81.1% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| ✓ | accuracy | 62.6% | (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
| 90.0ms | 256× | 0 | valid |
Compiled 557 to 38 computations (93.2% saved)
ival-mult: 36.0ms (51.8% of total)const: 19.0ms (27.4% of total)ival-add: 10.0ms (14.4% of total)ival-div: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))> |
#<alt (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))> |
#<alt (+ 2 (* -1/72 (* x (* x (* x x)))))> |
#<alt (* -1/72 (* x (* x (* x x))))> |
#<alt (* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))> |
#<alt (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))> |
#<alt (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))))> |
#<alt (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))> |
#<alt (* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))> |
#<alt (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))> |
#<alt (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))> |
#<alt (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))> |
#<alt (* (* x x) 1/576)> |
#<alt (* (* x x) (+ (* (* x x) 1/576) 1/48))> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x (* x x))) -1/124416)> |
#<alt (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))> |
#<alt (* 1/13824 (* x (* x x)))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))))> |
#<alt (* -1/41472 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* -1/41472 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6)))))> |
#<alt (* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))> |
#<alt (* -1/41472 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* -1/41472 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))> |
#<alt 2> |
#<alt (+ 2 (* -1/72 (pow x 4)))> |
#<alt (+ 2 (* -1/72 (pow x 4)))> |
#<alt (+ 2 (* -1/72 (pow x 4)))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10))))))> |
#<alt (* -1/71663616 (pow x 15))> |
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 15) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1/71663616 (pow x 15))> |
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 15) (- (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))) (/ 1/24 (pow x 12)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10)))))> |
#<alt (* -1/71663616 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1/71663616 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))> |
#<alt 2> |
#<alt (+ 2 (* -1/72 (pow x 4)))> |
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))> |
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))> |
#<alt (* -1/124416 (pow x 10))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* -1/124416 (pow x 10))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* -1/72 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))> |
#<alt (* -1/124416 (pow x 10))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* -1/124416 (pow x 10))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))> |
#<alt (/ -6 x)> |
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))> |
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)> |
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)> |
#<alt (/ -6 x)> |
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))> |
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))> |
#<alt (/ -6 (pow x 2))> |
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -6 (pow x 2))> |
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt 2> |
#<alt (+ 2 (* 1/864 (pow x 6)))> |
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))> |
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))> |
#<alt (/ -3456 (pow x 6))> |
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))> |
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))> |
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ -3456 (pow x 6))> |
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))> |
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))> |
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 1/8> |
#<alt (+ 1/8 (* -1/13824 (pow x 6)))> |
#<alt (+ 1/8 (* -1/13824 (pow x 6)))> |
#<alt (+ 1/8 (* -1/13824 (pow x 6)))> |
#<alt (* -1/13824 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* -1/13824 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* 1/48 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* -1/124416 (pow x 4))> |
#<alt (* 1/864 x)> |
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))> |
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))> |
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))> |
#<alt (* -1/124416 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))> |
#<alt (* -1/124416 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 1.0ms | x | @ | inf | (* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 1.0ms | x | @ | 0 | (* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 0.0ms | x | @ | inf | (* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
| 0.0ms | x | @ | inf | (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 4 446× | *-lowering-*.f32 |
| 4 446× | *-lowering-*.f64 |
| 4 194× | accelerator-lowering-fma.f32 |
| 4 194× | accelerator-lowering-fma.f64 |
| 4 084× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 306 |
| 1 | 230 | 262 |
| 2 | 2195 | 262 |
| 0 | 8374 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(+ 2 (* -1/72 (* x (* x (* x x))))) |
(* -1/72 (* x (* x (* x x)))) |
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) |
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))) |
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))) |
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))) |
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) |
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))) |
(* (* x x) 1/576) |
(* (* x x) (+ (* (* x x) 1/576) 1/48)) |
(* x (* x x)) |
(* (* x (* x (* x x))) -1/124416) |
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))) |
(* 1/13824 (* x (* x x))) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) x)) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) x (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) x)) |
(fma.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))) |
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(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/124416 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(*.f64 #s(literal -1/124416 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) x) |
(*.f64 (*.f64 #s(literal -1/124416 binary64) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/124416 binary64) (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x #s(literal 1/864 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))) |
(fma.f64 x #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/124416 binary64) x) (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 #s(literal 1/864 binary64) x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(fma.f64 #s(literal -1/124416 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) x (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/124416 binary64) (*.f64 x #s(literal 1/864 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/124416 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/864 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))) (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))) (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))) (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64)))) (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x) (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x) (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))))) (neg.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))))) (neg.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x #s(literal 1/864 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) |
(*.f64 (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/13824 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x) |
| 1× | egg-herbie |
| 12 326× | accelerator-lowering-fma.f32 |
| 12 326× | accelerator-lowering-fma.f64 |
| 4 168× | *-lowering-*.f32 |
| 4 168× | *-lowering-*.f64 |
| 3 784× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 1978 |
| 1 | 678 | 1977 |
| 2 | 1844 | 1948 |
| 3 | 4537 | 1946 |
| 0 | 8186 | 1873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))) |
(* -1/41472 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* -1/41472 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6))))) |
(* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))) |
(* -1/41472 (pow x 8)) |
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* -1/41472 (pow x 8)) |
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
2 |
(+ 2 (* -1/72 (pow x 4))) |
(+ 2 (* -1/72 (pow x 4))) |
(+ 2 (* -1/72 (pow x 4))) |
(* -1/72 (pow x 4)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* -1/72 (pow x 4)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* -1/72 (pow x 4)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10)))))) |
(* -1/71663616 (pow x 15)) |
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* (pow x 15) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1/71663616 (pow x 15)) |
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 15) (- (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))) (/ 1/24 (pow x 12))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10))))) |
(* -1/71663616 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1/71663616 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))))) |
2 |
(+ 2 (* -1/72 (pow x 4))) |
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))) |
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))) |
(* -1/124416 (pow x 10)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* -1/124416 (pow x 10)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* -1/72 (pow x 4)) |
(* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)) |
(* -1/124416 (pow x 10)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* -1/124416 (pow x 10)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))) |
(/ -6 x) |
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x) |
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x) |
(/ -6 x) |
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x)) |
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x)) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))) |
(/ -6 (pow x 2)) |
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2)) |
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -6 (pow x 2)) |
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2)) |
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2)) |
2 |
(+ 2 (* 1/864 (pow x 6))) |
(+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6))))) |
(+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6))))))) |
(/ -3456 (pow x 6)) |
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6))) |
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6)) |
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6)) |
(/ -3456 (pow x 6)) |
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6))) |
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6)) |
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6)) |
1/8 |
(+ 1/8 (* -1/13824 (pow x 6))) |
(+ 1/8 (* -1/13824 (pow x 6))) |
(+ 1/8 (* -1/13824 (pow x 6))) |
(* -1/13824 (pow x 6)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* -1/13824 (pow x 6)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* 1/48 (pow x 2)) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* -1/124416 (pow x 4)) |
(* 1/864 x) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(* -1/124416 (pow x 5)) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(* -1/124416 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3456 binary64) (*.f64 (*.f64 x x) #s(literal -1/41472 binary64)))))))) |
(* -1/41472 (pow x 9)) |
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))) |
(* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* -1/41472 (pow x 9)) |
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3456 binary64) (*.f64 (*.f64 x x) #s(literal -1/41472 binary64))))))) |
(* -1/41472 (pow x 8)) |
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* -1/41472 (pow x 8)) |
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/72 (pow x 4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(+ 2 (* -1/72 (pow x 4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(+ 2 (* -1/72 (pow x 4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
(* -1/72 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)) |
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(/ -3456 (pow x 6)) |
(/.f64 #s(literal -3456 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6))) |
(/.f64 (+.f64 #s(literal -3456 binary64) (/.f64 #s(literal -5971968 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6)) |
(/.f64 (-.f64 #s(literal -3456 binary64) (/.f64 (+.f64 #s(literal 5971968 binary64) (/.f64 #s(literal 10319560704 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal -3456 binary64) (-.f64 (/.f64 #s(literal -5971968 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 10319560704 binary64) (/.f64 #s(literal 17832200896512 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(+ 1/8 (* -1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(+ 1/8 (* -1/13824 (pow x 6))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* -1/13824 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* -1/13824 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/576 binary64)) |
(* 1/48 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/48 binary64))) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) |
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) |
(* 1/576 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(* 1/576 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* -1/124416 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)) |
(* 1/864 x) |
(*.f64 x #s(literal 1/864 binary64)) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))) |
(* x (+ 1/864 (* -1/124416 (pow x 4)))) |
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))) |
(* -1/124416 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416)) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1/124416 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(* 1/13824 (pow x 3)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
Compiled 88 358 to 4 028 computations (95.4% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 210 | 15 | 1 225 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 5 | 5 |
| Total | 1 213 | 20 | 1 233 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) | |
| 2.6% | (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) | |
| ✓ | 54.3% | (/.f64 x #s(literal 2 binary64)) |
| 2.7% | (/.f64 #s(literal -6 binary64) x) | |
| ✓ | 53.8% | (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
| 53.3% | (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x)) | |
| 2.6% | (*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) | |
| 2.7% | (*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) | |
| ✓ | 53.8% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| 53.2% | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))) | |
| 53.0% | (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))))) | |
| 53.3% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))) | |
| 53.2% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))))) | |
| 11.3% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))))) | |
| 28.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))))) | |
| 53.2% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x))))))) | |
| 53.4% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) | |
| 53.4% | (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) | |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | 7.6% | #s(literal 1 binary64) |
Compiled 1 586 to 503 computations (68.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x)) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x))))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))))) |
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x)) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x))))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))))) |
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) |
#s(literal 1 binary64) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
#s(literal 1 binary64) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
| Outputs |
|---|
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 x #s(literal 2 binary64)) |
#s(literal 1 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -3.7b remaining (-6.3%)
Threshold costs -3.7b (-6.3%)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal -6 binary64) x) |
| Outputs |
|---|
#s(literal 1 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3461.7548748308004 | 5746595.441884308 |
| 12.0ms | 128× | 0 | valid |
Compiled 315 to 194 computations (38.4% saved)
ival-cos: 4.0ms (41.7% of total)ival-sin: 4.0ms (41.7% of total)ival-sub: 1.0ms (10.4% of total)ival-div: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3461.7548748308004 | 5746595.441884308 |
| 14.0ms | 128× | 0 | valid |
Compiled 299 to 178 computations (40.5% saved)
ival-sin: 6.0ms (53.9% of total)ival-cos: 4.0ms (35.9% of total)ival-sub: 1.0ms (9% of total)ival-div: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3461.7548748308004 | 5746595.441884308 |
| 12.0ms | 128× | 0 | valid |
Compiled 267 to 178 computations (33.3% saved)
ival-cos: 4.0ms (41.3% of total)ival-sin: 4.0ms (41.3% of total)ival-sub: 1.0ms (10.3% of total)ival-div: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.998145870953706e-8 | 3.5357321126559125 |
| 11.0ms | 144× | 0 | valid |
Compiled 155 to 118 computations (23.9% saved)
ival-cos: 3.0ms (35.8% of total)ival-sin: 3.0ms (35.8% of total)ival-sub: 1.0ms (11.9% of total)ival-div: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.998145870953706e-8 | 3.5357321126559125 |
| 12.0ms | 144× | 0 | valid |
Compiled 137 to 109 computations (20.4% saved)
ival-cos: 4.0ms (43% of total)ival-sin: 3.0ms (32.3% of total)ival-sub: 1.0ms (10.8% of total)ival-div: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 9.998145870953706e-8 | 3.5357321126559125 |
| 11.0ms | 144× | 0 | valid |
Compiled 83 to 73 computations (12% saved)
ival-cos: 3.0ms (37.7% of total)ival-sin: 3.0ms (37.7% of total)ival-sub: 1.0ms (12.6% of total)ival-div: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 62× | *-commutative_binary64 |
| 34× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 149 |
| 1 | 101 | 149 |
| 2 | 124 | 149 |
| 3 | 143 | 149 |
| 4 | 158 | 149 |
| 5 | 164 | 149 |
| 6 | 165 | 149 |
| 1× | saturated |
| Inputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 19 148× | accelerator-lowering-fma.f32 |
| 19 148× | accelerator-lowering-fma.f64 |
| 12 326× | accelerator-lowering-fma.f32 |
| 12 326× | accelerator-lowering-fma.f64 |
| 9 718× | accelerator-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 35 | 12 |
| 2 | 241 | 12 |
| 3 | 2351 | 11 |
| 0 | 8884 | 11 |
| 0 | 248 | 1978 |
| 1 | 678 | 1977 |
| 2 | 1844 | 1948 |
| 3 | 4537 | 1946 |
| 0 | 8186 | 1873 |
| 0 | 79 | 286 |
| 1 | 224 | 286 |
| 2 | 555 | 280 |
| 3 | 1656 | 280 |
| 4 | 3000 | 280 |
| 5 | 4243 | 280 |
| 6 | 4592 | 280 |
| 7 | 5323 | 280 |
| 8 | 6815 | 280 |
| 0 | 8390 | 256 |
| 0 | 36 | 306 |
| 1 | 230 | 262 |
| 2 | 2195 | 262 |
| 0 | 8374 | 230 |
| 0 | 137 | 1190 |
| 1 | 344 | 1190 |
| 2 | 788 | 1187 |
| 3 | 1751 | 1186 |
| 4 | 3987 | 1186 |
| 0 | 8059 | 1111 |
| 0 | 13 | 32 |
| 1 | 58 | 32 |
| 2 | 298 | 32 |
| 3 | 2193 | 32 |
| 0 | 8193 | 30 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 397 to 214 computations (46.1% saved)
(negabs x)
Compiled 336 to 150 computations (55.4% saved)
Loading profile data...