
Time bar (total: 7.6s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 726.0ms | 2 269× | 2 | valid |
| 409.0ms | 4 258× | 0 | valid |
| 197.0ms | 543× | 3 | valid |
| 160.0ms | 1 186× | 1 | valid |
ival-cos: 768.0ms (61.8% of total)ival-mult: 143.0ms (11.5% of total)ival-sub: 118.0ms (9.5% of total)ival-div: 100.0ms (8.1% of total)adjust: 97.0ms (7.8% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 2 | (-9.546298760416035e+44) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 61 | 2 | (-3.952617624285194e+161) | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 74 | 6 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 61 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 61 | |
| ↳ | (*.f64 x x) | underflow | 61 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 0 |
| - | 10 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 0 |
| - | 10 | 6 | 113 |
| number | freq |
|---|---|
| 0 | 119 |
| 1 | 137 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 150× | 2 | valid |
| 25.0ms | 260× | 0 | valid |
| 14.0ms | 34× | 3 | valid |
| 12.0ms | 68× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 43.0ms (61.7% of total)ival-mult: 8.0ms (11.5% of total)ival-div: 6.0ms (8.6% of total)adjust: 6.0ms (8.6% of total)ival-sub: 5.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 35 | 17 |
| 2 | 100 | 17 |
| 3 | 157 | 17 |
| 4 | 228 | 17 |
| 5 | 307 | 17 |
| 6 | 541 | 17 |
| 7 | 1187 | 17 |
| 8 | 2538 | 17 |
| 9 | 5009 | 17 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 27 | 8 |
| 2 | 62 | 8 |
| 3 | 108 | 8 |
| 4 | 154 | 8 |
| 5 | 208 | 8 |
| 6 | 294 | 8 |
| 7 | 528 | 8 |
| 8 | 1173 | 8 |
| 9 | 2520 | 8 |
| 10 | 4972 | 8 |
| 0 | 8040 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 27 | 19 |
| 2 | 62 | 19 |
| 3 | 108 | 19 |
| 4 | 154 | 19 |
| 5 | 208 | 19 |
| 6 | 294 | 19 |
| 7 | 528 | 19 |
| 8 | 1173 | 19 |
| 9 | 2520 | 19 |
| 10 | 4972 | 19 |
| 0 | 8040 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 14.880073216276232 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 29.0ms | 17× | 3 | valid |
| 29.0ms | 130× | 0 | valid |
| 20.0ms | 75× | 2 | valid |
| 4.0ms | 34× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 63.0ms (86.2% of total)ival-div: 3.0ms (4.1% of total)adjust: 3.0ms (4.1% of total)ival-sub: 3.0ms (4.1% of total)ival-mult: 2.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 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 |
(+ 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))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 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 |
(+ 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))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #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 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x)) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 901 to 540 computations (81.4% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 15 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 133 | 16 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| ▶ | 75.8% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 19.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| ▶ | 13.9% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| 49.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) | |
| 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 75.8% | (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) | |
| ▶ | 51.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
| ▶ | 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 432 to 288 computations (33.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 2 | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 1 | (*.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 4 | (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 2 | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 189 |
| 0 | 56 | 186 |
| 1 | 121 | 175 |
| 2 | 497 | 161 |
| 3 | 2645 | 159 |
| 4 | 5985 | 159 |
| 0 | 8259 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) |
(cos.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0859375 | (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 30.82260104021049 | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.08822250976844202 | (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) | |
| accuracy | 0.13509750976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 13.473854811337786 | (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| accuracy | 47.362087600635704 | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.04296875 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| accuracy | 0.2265625 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 31.418241564488024 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 30.94386418450768 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.16796875 | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.296875 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.46908103814676416 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 14.880073216276232 | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
| 467.0ms | 75× | 2 | valid |
| 77.0ms | 130× | 0 | valid |
| 22.0ms | 17× | 3 | valid |
| 17.0ms | 34× | 1 | valid |
Compiled 180 to 34 computations (81.1% saved)
ival-div: 402.0ms (77.5% of total)ival-cos: 41.0ms (7.9% of total)ival-mult: 24.0ms (4.6% of total)adjust: 13.0ms (2.5% of total)const: 8.0ms (1.5% of total)ival-sin: 8.0ms (1.5% of total)ival-sub: 6.0ms (1.2% of total)ival-add: 6.0ms (1.2% of total)ival-pow: 4.0ms (0.8% of total)ival-pow2: 4.0ms (0.8% of total)exact: 1.0ms (0.2% of total)ival-neg: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
| Outputs |
|---|
(* 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)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
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)))) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 4)) |
(* -1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
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))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ (pow (sin x) 2) (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(pow (sin x) 2) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(/ (cos x) (pow x 2)) |
(cos x) |
(+ 1 (cos x)) |
(* -1 (* (pow x 2) (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | inf | ((/ (pow (sin x) 2) (+ (cos x) 1)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (pow (sin x) 2) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* (neg x) x) (cos x))) |
| 4.0ms | x | @ | -inf | ((/ (pow (sin x) 2) (+ (cos x) 1)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (pow (sin x) 2) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* (neg x) x) (cos x))) |
| 3.0ms | x | @ | 0 | ((/ (pow (sin x) 2) (+ (cos x) 1)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (pow (sin x) 2) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* (neg x) x) (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 580 |
| 1 | 372 | 579 |
| 2 | 1113 | 554 |
| 3 | 3440 | 550 |
| 0 | 8456 | 521 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
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)))) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 4)) |
(* -1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
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))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ (pow (sin x) 2) (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(pow (sin x) 2) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(/ (cos x) (pow x 2)) |
(cos x) |
(+ 1 (cos x)) |
(* -1 (* (pow x 2) (cos x))) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(* -1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/ (pow (sin x) 2) (+ 1 (cos x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin x) |
(sin.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(cos x) |
(cos.f64 x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 161 |
| 0 | 56 | 153 |
| 1 | 222 | 128 |
| 2 | 1635 | 126 |
| 0 | 8597 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
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(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) |
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) |
(neg.f64 (*.f64 x (*.f64 (cos.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))) |
Compiled 23 779 to 2 816 computations (88.2% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 005 | 14 | 1 019 |
| Fresh | 5 | 5 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 013 | 22 | 1 035 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.0% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
| ▶ | 14.0% | (/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 14.1% | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.0% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 26.3% | (/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 (neg.f64 x) x)) | |
| 19.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 1.5% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 13.9% | (/.f64 (+.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 13.8% | (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 13.9% | (/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 51.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ▶ | 50.9% | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ▶ | 76.1% | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| ▶ | 50.5% | #s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 686 to 418 computations (39.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 2 | (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 6 | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 2 | (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 5 | (/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (neg.f64 (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 5 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 3 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 191 |
| 0 | 59 | 172 |
| 1 | 136 | 166 |
| 2 | 490 | 166 |
| 3 | 2899 | 149 |
| 4 | 7540 | 149 |
| 0 | 8035 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 x x) |
x |
(cos.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 x x) |
x |
(cos.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(neg.f64 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 (cos.f64 x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.150722509768442 | (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 31.353751868735927 | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.13509750976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 13.36484991694409 | (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) | |
| accuracy | 47.362087600635704 | (/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.15023215476030194 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 0.150722509768442 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 30.82260104021049 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 31.683277644490207 | #s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16796875 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| accuracy | 14.693445083354353 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 103.0ms | 75× | 2 | valid |
| 49.0ms | 17× | 3 | valid |
| 47.0ms | 34× | 1 | valid |
| 46.0ms | 130× | 0 | valid |
Compiled 190 to 36 computations (81.1% saved)
adjust: 49.0ms (26% of total)ival-pow2: 32.0ms (17% of total)ival-cos: 28.0ms (14.9% of total)ival-div: 27.0ms (14.3% of total)ival-mult: 19.0ms (10.1% of total)ival-add: 12.0ms (6.4% of total)ival-tan: 6.0ms (3.2% of total)ival-sin: 6.0ms (3.2% of total)const: 4.0ms (2.1% of total)ival-neg: 3.0ms (1.6% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(sin.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 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 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))) x) |
(pow x 2) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
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))) |
(* -1 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 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 (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin x) (pow x 2)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(cos x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(sin x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* x x) (cos x)) (* (neg x) x)) (+ (* (/ -1 x) (/ -1 x)) (/ (* (neg (cos x)) 1) (* x x))) (* (neg (cos x)) 1) (/ -1 x) (/ (* (neg (cos x)) 1) (* x x)) (sin x) (/ -1 (* x x))) |
| 7.0ms | x | @ | -inf | ((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* x x) (cos x)) (* (neg x) x)) (+ (* (/ -1 x) (/ -1 x)) (/ (* (neg (cos x)) 1) (* x x))) (* (neg (cos x)) 1) (/ -1 x) (/ (* (neg (cos x)) 1) (* x x)) (sin x) (/ -1 (* x x))) |
| 3.0ms | x | @ | 0 | ((* (tan (/ x 2)) (/ (sin x) (* x x))) (tan (/ x 2)) (/ x 2) (/ (sin x) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (cos x) (/ (+ (* (* x x) (cos x)) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* x x) (cos x)) (* (neg x) x)) (+ (* (/ -1 x) (/ -1 x)) (/ (* (neg (cos x)) 1) (* x x))) (* (neg (cos x)) 1) (/ -1 x) (/ (* (neg (cos x)) 1) (* x x)) (sin x) (/ -1 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 484 |
| 1 | 372 | 483 |
| 2 | 1087 | 463 |
| 3 | 5070 | 463 |
| 0 | 8587 | 435 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 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 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))) x) |
(pow x 2) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
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))) |
(* -1 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 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 (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin x) (pow x 2)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(cos x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(sin x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow x 2)) 1) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.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 x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (cos x) 1)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(sin x) |
(sin.f64 x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 155 |
| 0 | 59 | 136 |
| 1 | 247 | 117 |
| 2 | 2021 | 111 |
| 0 | 9017 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(sin.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))))) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x))) x) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 x x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 x))) (fabs.f64 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sin.f64 x))) |
(fabs.f64 (sin.f64 x)) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x)))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(*.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -1 binary64)))) (exp.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x)) |
(*.f64 (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
Compiled 22 372 to 2 697 computations (87.9% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 026 | 10 | 1 036 |
| Fresh | 5 | 9 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 032 | 26 | 1 058 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.8% | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
| ✓ | 51.0% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
| 27.3% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| 51.7% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) | |
| 14.3% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 14.0% | (/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.0% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 26.3% | (/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
| 19.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 1.5% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 75.9% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 13.9% | (/.f64 (*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 13.8% | (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 51.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ✓ | 50.9% | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ▶ | 31.0% | (-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ▶ | 99.8% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 76.1% | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| ✓ | 50.5% | #s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 714 to 433 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 2 | (/.f64 x (*.f64 x x)) | |
| cost-diff | 4 | (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) | |
| cost-diff | 6 | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 (*.f64 (cos.f64 x) x) x) | |
| cost-diff | 0 | (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) | |
| cost-diff | 1 | (/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 8 | (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) | |
| cost-diff | 1 | (+.f64 (neg.f64 x) (PI.f64)) | |
| cost-diff | 1 | (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) | |
| cost-diff | 5 | (-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 221 |
| 0 | 65 | 194 |
| 1 | 142 | 190 |
| 2 | 420 | 174 |
| 3 | 1631 | 169 |
| 4 | 5047 | 168 |
| 0 | 8232 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) |
(cos.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(+.f64 (neg.f64 x) (PI.f64)) |
(neg.f64 x) |
x |
(PI.f64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) |
x |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(/.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(cos.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(neg.f64 (cos.f64 x)) |
(+.f64 (neg.f64 x) (PI.f64)) |
(-.f64 (PI.f64) x) |
(neg.f64 x) |
x |
(PI.f64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
x |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 x (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(*.f64 x x) |
(/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x)) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) |
(neg.f64 (cos.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.150722509768442 | (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x)) | |
| accuracy | 0.18359375 | (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) | |
| accuracy | 29.260124784277533 | (/.f64 x (*.f64 x x)) | |
| accuracy | 31.353751868735927 | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) | |
| accuracy | 0.10546875 | (*.f64 (cos.f64 x) x) | |
| accuracy | 9.404649435657232 | (-.f64 (*.f64 (cos.f64 x) x) x) | |
| accuracy | 14.880073216276232 | (/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 39.40322274029969 | (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) | |
| accuracy | 0.15023215476030194 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 0.150722509768442 | (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) | |
| accuracy | 30.82260104021049 | (-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 30.994756335065084 | (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 14.880073216276232 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.62600633407011 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.109375 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) | |
| accuracy | 0.1171875 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| accuracy | 0.16015625 | (/.f64 (sin.f64 x) x) |
| 162.0ms | 161× | 1 | valid |
| 129.0ms | 75× | 2 | valid |
| 22.0ms | 15× | 3 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 218 to 36 computations (83.5% saved)
ival-cos: 98.0ms (35.8% of total)ival-div: 57.0ms (20.8% of total)ival-mult: 48.0ms (17.5% of total)ival-tan: 24.0ms (8.8% of total)adjust: 19.0ms (6.9% of total)ival-sub: 13.0ms (4.7% of total)ival-add: 5.0ms (1.8% of total)ival-sin: 5.0ms (1.8% of total)ival-neg: 3.0ms (1.1% of total)ival-pi: 2.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(cos.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(+.f64 (neg.f64 x) (PI.f64)) |
(/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) |
(/.f64 x (*.f64 x x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (cos.f64 x) x) |
(/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 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)))))))) |
(* 1/2 (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 |
(+ 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))) |
(pow x 2) |
(/ (+ 1 (cos (PI))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (sin (PI))))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI)))))))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))))))) (pow x 2)) |
(cos (PI)) |
(+ (cos (PI)) (* x (sin (PI)))) |
(+ (cos (PI)) (* x (- (* -1/2 (* x (cos (PI)))) (* -1 (sin (PI)))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))) (* -1 (sin (PI)))))) |
(PI) |
(+ (PI) (* -1 x)) |
(/ (cos (PI)) (pow x 2)) |
(/ (+ (cos (PI)) (* x (sin (PI)))) (pow x 2)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI))))))) (pow x 2)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI))))))))) (pow x 2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(/ 1 x) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
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)))) |
(/ -1 (pow x 2)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (cos (- (PI) x))) (pow x 2)) |
(cos (- (PI) x)) |
(* -1 x) |
(* x (- (/ (PI) x) 1)) |
(/ (cos (- (PI) x)) (pow x 2)) |
(- (cos x) 1) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (cos x)) |
(/ (sin x) x) |
(sin x) |
(* x (cos x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/ (+ 1 (cos (+ (PI) (* -1 x)))) (pow x 2)) |
(cos (+ (PI) (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ (PI) x))))) |
(/ (cos (+ (PI) (* -1 x))) (pow x 2)) |
(* -1 (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | inf | ((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) (cos (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (cos (+ (neg x) (PI))) (* x x)) (/ (* x (- (* (cos x) x) x)) (* x x)) (/ (/ (* x (- (* (cos x) x) x)) (* x x)) (* (neg x) x)) (* x (- (* (cos x) x) x)) (- (* (cos x) x) x) (+ (* (/ x (* x x)) (/ x (* x x))) (/ (* x (/ (neg (cos x)) x)) (* x x))) (* x (/ (neg (cos x)) x)) (/ x (* x x)) (/ (sin x) x) (sin x) (/ -1 (* x x)) (* (cos x) x) (/ (* x (/ (neg (cos x)) x)) (* x x))) |
| 5.0ms | x | @ | -inf | ((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) (cos (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (cos (+ (neg x) (PI))) (* x x)) (/ (* x (- (* (cos x) x) x)) (* x x)) (/ (/ (* x (- (* (cos x) x) x)) (* x x)) (* (neg x) x)) (* x (- (* (cos x) x) x)) (- (* (cos x) x) x) (+ (* (/ x (* x x)) (/ x (* x x))) (/ (* x (/ (neg (cos x)) x)) (* x x))) (* x (/ (neg (cos x)) x)) (/ x (* x x)) (/ (sin x) x) (sin x) (/ -1 (* x x)) (* (cos x) x) (/ (* x (/ (neg (cos x)) x)) (* x x))) |
| 3.0ms | x | @ | 0 | ((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) (cos (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (cos (+ (neg x) (PI))) (* x x)) (/ (* x (- (* (cos x) x) x)) (* x x)) (/ (/ (* x (- (* (cos x) x) x)) (* x x)) (* (neg x) x)) (* x (- (* (cos x) x) x)) (- (* (cos x) x) x) (+ (* (/ x (* x x)) (/ x (* x x))) (/ (* x (/ (neg (cos x)) x)) (* x x))) (* x (/ (neg (cos x)) x)) (/ x (* x x)) (/ (sin x) x) (sin x) (/ -1 (* x x)) (* (cos x) x) (/ (* x (/ (neg (cos x)) x)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 890 |
| 1 | 606 | 838 |
| 2 | 1844 | 818 |
| 3 | 5199 | 818 |
| 0 | 8180 | 768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 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)))))))) |
(* 1/2 (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 |
(+ 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))) |
(pow x 2) |
(/ (+ 1 (cos (PI))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (sin (PI))))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI)))))))) (pow x 2)) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))))))) (pow x 2)) |
(cos (PI)) |
(+ (cos (PI)) (* x (sin (PI)))) |
(+ (cos (PI)) (* x (- (* -1/2 (* x (cos (PI)))) (* -1 (sin (PI)))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))) (* -1 (sin (PI)))))) |
(PI) |
(+ (PI) (* -1 x)) |
(/ (cos (PI)) (pow x 2)) |
(/ (+ (cos (PI)) (* x (sin (PI)))) (pow x 2)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI))))))) (pow x 2)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI))))))))) (pow x 2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(/ 1 x) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
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)))) |
(/ -1 (pow x 2)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (cos (- (PI) x))) (pow x 2)) |
(cos (- (PI) x)) |
(* -1 x) |
(* x (- (/ (PI) x) 1)) |
(/ (cos (- (PI) x)) (pow x 2)) |
(- (cos x) 1) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* x (- (cos x) 1)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (cos x)) |
(/ (sin x) x) |
(sin x) |
(* x (cos x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/ (+ 1 (cos (+ (PI) (* -1 x)))) (pow x 2)) |
(cos (+ (PI) (* -1 x))) |
(* -1 (* x (+ 1 (* -1 (/ (PI) x))))) |
(/ (cos (+ (PI) (* -1 x))) (pow x 2)) |
(* -1 (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ (+ 1 (cos (PI))) (pow x 2)) |
#s(literal 0 binary64) |
(/ (+ 1 (+ (cos (PI)) (* x (sin (PI))))) (pow x 2)) |
#s(literal 0 binary64) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI)))))))) (pow x 2)) |
#s(literal 1/2 binary64) |
(/ (+ 1 (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))))))) (pow x 2)) |
#s(literal 1/2 binary64) |
(cos (PI)) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* x (sin (PI)))) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* x (- (* -1/2 (* x (cos (PI)))) (* -1 (sin (PI)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI)))))) (* -1 (sin (PI)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) |
(PI) |
(PI.f64) |
(+ (PI) (* -1 x)) |
(-.f64 (PI.f64) x) |
(/ (cos (PI)) (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (+ (cos (PI)) (* x (sin (PI)))) (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* -1/2 (* x (cos (PI))))))) (pow x 2)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/ (+ (cos (PI)) (* x (+ (sin (PI)) (* x (+ (* -1/2 (cos (PI))) (* -1/6 (* x (sin (PI))))))))) (pow x 2)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(* -1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow x 2)) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) 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 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (+ 1 (cos (- (PI) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(cos (- (PI) x)) |
(neg.f64 (cos.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (PI) x) 1)) |
(*.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)) x) |
(/ (cos (- (PI) x)) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(- (cos x) 1) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (cos x) 1)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(/ (+ 1 (cos (+ (PI) (* -1 x)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(cos (+ (PI) (* -1 x))) |
(neg.f64 (cos.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (PI) x))))) |
(-.f64 (PI.f64) x) |
(/ (cos (+ (PI) (* -1 x))) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(* -1 (+ 1 (* -1 (cos x)))) |
(+.f64 #s(literal -1 binary64) (cos.f64 x)) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 183 |
| 0 | 65 | 170 |
| 1 | 263 | 153 |
| 2 | 2159 | 147 |
| 0 | 8437 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(cos.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(+.f64 (neg.f64 x) (PI.f64)) |
(/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) |
(/.f64 x (*.f64 x x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (cos.f64 x) x) |
(/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (neg.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)) |
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(neg.f64 (/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) x)) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x x) (*.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -4 binary64)))) |
(fma.f64 (fabs.f64 (/.f64 x (neg.f64 x))) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (exp.f64 (neg.f64 (log.f64 x))) (exp.f64 (neg.f64 (log.f64 x))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 x (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (/.f64 x (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 (/.f64 x (neg.f64 x))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 x (neg.f64 x)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 x (fabs.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (fabs.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -4 binary64))))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) |
(*.f64 x (/.f64 (cos.f64 x) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) x) |
(/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(neg.f64 (*.f64 x (/.f64 (cos.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (cos.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 x (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) x)) x) |
(/.f64 (fabs.f64 (/.f64 x (neg.f64 x))) x) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (*.f64 x (*.f64 (neg.f64 x) x)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) x) x))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 x x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 x) x) (neg.f64 x)) |
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) x)) |
(fabs.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(sin.f64 x) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(*.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64))) x) |
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 x (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) x) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) x) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 x (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
Compiled 14 004 to 1 998 computations (85.7% saved)
26 alts after pruning (18 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 665 | 8 | 673 |
| Fresh | 4 | 10 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 673 | 26 | 699 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.8% | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
| 27.2% | (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| ✓ | 51.0% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
| 27.3% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| 51.2% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 14.3% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.0% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 1.5% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| 43.4% | (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 13.9% | (/.f64 (*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 51.0% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x)) (*.f64 x x)) | |
| 51.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ✓ | 50.9% | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| 31.0% | (-.f64 (/.f64 (cos.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| 51.7% | (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 76.1% | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| 43.7% | (*.f64 x (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (*.f64 (neg.f64 x) x))) | |
| ✓ | 50.5% | #s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 27.6% | #s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
Compiled 1 195 to 459 computations (61.6% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x)) (*.f64 x x)) |
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 x (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 12.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x)) (*.f64 x x)) |
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 x (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
2 calls:
| 10.0ms | x |
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (PI.f64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x)) (*.f64 x x)) |
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 (cos.f64 x) x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 x (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) x) x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 37.0ms | x |
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.6% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.0001809111069724862 | 1.6475452680403326 |
| 2.0ms | 48× | 0 | valid |
Compiled 89 to 73 computations (18% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 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 |
|---|---|---|
| 9.0ms | 0.0001809111069724862 | 1.6475452680403326 |
| 5.0ms | 96× | 0 | valid |
Compiled 195 to 162 computations (16.9% saved)
ival-div: 1.0ms (36.3% of total)ival-cos: 1.0ms (36.3% of total)ival-mult: 1.0ms (36.3% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 1.0ms | 0.0001809111069724862 | 1.6475452680403326 |
Compiled 195 to 162 computations (16.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 15454387647.79481 | 13710601608593.219 |
| 9.0ms | 128× | 0 | valid |
Compiled 363 to 226 computations (37.7% saved)
ival-cos: 4.0ms (59.5% of total)ival-sub: 1.0ms (14.9% of total)ival-div: 1.0ms (14.9% of total)ival-mult: 1.0ms (14.9% 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 |
|---|---|---|
| 24.0ms | 6.179594610975677e+79 | 2.430525276929669e+80 |
| 21.0ms | 80× | 0 | valid |
Compiled 151 to 115 computations (23.8% saved)
ival-div: 15.0ms (79.1% of total)ival-cos: 3.0ms (15.8% of total)ival-mult: 1.0ms (5.3% of total)ival-sub: 0.0ms (0% 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 | 5.647965937542929e+67 | 5.528952311323937e+78 |
| 12.0ms | 160× | 0 | valid |
Compiled 281 to 230 computations (18.1% saved)
ival-cos: 5.0ms (59.8% of total)ival-sub: 1.0ms (12% of total)ival-div: 1.0ms (12% of total)ival-mult: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 217 |
| 1 | 105 | 217 |
| 2 | 181 | 217 |
| 3 | 306 | 215 |
| 4 | 433 | 213 |
| 5 | 627 | 213 |
| 6 | 1484 | 213 |
| 7 | 3989 | 213 |
| 8 | 7432 | 213 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 290000000000 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 215000000000000002031816677908436895141378181608402345540266790285298817688403968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 76000000000000004862120657096007909209422644572716475826280587491460964679680 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64))) |
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 290000000000 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 215000000000000002031816677908436895141378181608402345540266790285298817688403968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 215000000000000002031816677908436895141378181608402345540266790285298817688403968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (* x (/ (neg (cos x)) x)) #s(literal -1 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 76000000000000004862120657096007909209422644572716475826280587491460964679680 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64))) |
#s(approx (- (/ (cos (+ (neg x) (PI))) (* x x)) (/ -1 (* x x))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 484 |
| 1 | 372 | 483 |
| 2 | 1087 | 463 |
| 3 | 5070 | 463 |
| 0 | 8587 | 435 |
| 0 | 35 | 155 |
| 0 | 59 | 136 |
| 1 | 247 | 117 |
| 2 | 2021 | 111 |
| 0 | 9017 | 111 |
| 0 | 34 | 161 |
| 0 | 56 | 153 |
| 1 | 222 | 128 |
| 2 | 1635 | 126 |
| 0 | 8597 | 126 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 0 | 190 | 890 |
| 1 | 606 | 838 |
| 2 | 1844 | 818 |
| 3 | 5199 | 818 |
| 0 | 8180 | 768 |
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 608 to 296 computations (51.3% saved)
(abs x)
Compiled 488 to 164 computations (66.4% saved)
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