
Time bar (total: 5.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 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)
| 892.0ms | 2 327× | 2 | valid |
| 366.0ms | 4 243× | 0 | valid |
| 216.0ms | 511× | 3 | valid |
| 118.0ms | 1 175× | 1 | valid |
ival-cos: 911.0ms (70% of total)adjust: 111.0ms (8.5% of total)ival-div: 109.0ms (8.4% of total)ival-sub: 99.0ms (7.6% of total)ival-mult: 56.0ms (4.3% 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 | 0 | - | 3 | (-4.742913686120664e-162) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 64 | 1 | (-4.742913686120664e-162) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 67 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 67 | |
| ↳ | (*.f64 x x) | underflow | 67 | |
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 65 | 4 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 133 | 1 |
| - | 1 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 133 | 1 | 0 |
| - | 1 | 3 | 118 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 158× | 2 | valid |
| 20.0ms | 258× | 0 | valid |
| 13.0ms | 26× | 3 | valid |
| 8.0ms | 70× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 67.0ms (71.9% of total)ival-div: 11.0ms (11.8% of total)adjust: 6.0ms (6.4% of total)ival-sub: 5.0ms (5.4% of total)ival-mult: 4.0ms (4.3% 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 |
|---|---|---|
| ▶ | 50.2% | (/.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 | 0.00390625 | (cos.f64 x) | |
| accuracy | 13.630771606027665 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 17.034037738051445 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.0ms | 79× | 2 | valid |
| 10.0ms | 129× | 0 | valid |
| 4.0ms | 13× | 3 | valid |
| 4.0ms | 35× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 24.0ms (69% of total)adjust: 3.0ms (8.6% of total)ival-div: 3.0ms (8.6% of total)ival-sub: 3.0ms (8.6% of total)ival-mult: 2.0ms (5.7% 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)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 14 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 15 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| 72.2% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 17.3% | (/.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))) |
| 13.0% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| ✓ | 50.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 48.6% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| 28.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 50.6% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| 50.1% | (-.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))) | |
| 72.6% | (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| ▶ | 72.9% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
| ▶ | 51.3% | #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))) |
| 50.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 408 to 258 computations (36.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 2 | (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 2 | (*.f64 (neg.f64 x) (*.f64 x x)) | |
| cost-diff | 2 | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) | |
| cost-diff | 3 | (/.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))) | |
| cost-diff | 5 | (*.f64 (/.f64 #s(literal -1 binary64) 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 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| cost-diff | 2 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 200 |
| 0 | 60 | 199 |
| 1 | 132 | 191 |
| 2 | 447 | 166 |
| 3 | 2822 | 164 |
| 0 | 8246 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
#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 (/.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 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 x x) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 (cos.f64 x) x x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
#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 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 x x) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.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 |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(log.f64 x) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 2.467882069147478 | (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 13.630771606027665 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 17.034037738051445 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.12109375 | (*.f64 (neg.f64 x) (cos.f64 x)) | |
| accuracy | 9.716180391173108 | (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) | |
| accuracy | 25.830390600554217 | (/.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))) | |
| accuracy | 32.247976360006604 | (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) | |
| accuracy | 0.060878759768442016 | (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 | 0.0703125 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 31.193196096745048 | #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 | 30.74089373688915 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 0.171875 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| accuracy | 0.4647776850576084 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 16.565101339408407 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
| 134.0ms | 79× | 2 | valid |
| 42.0ms | 129× | 0 | valid |
| 18.0ms | 35× | 1 | valid |
| 14.0ms | 13× | 3 | valid |
Compiled 191 to 35 computations (81.7% saved)
ival-mult: 28.0ms (24.3% of total)ival-cos: 24.0ms (20.8% of total)ival-div: 17.0ms (14.7% of total)adjust: 11.0ms (9.5% of total)const: 8.0ms (6.9% of total)ival-add: 6.0ms (5.2% of total)ival-sin: 6.0ms (5.2% of total)ival-log: 5.0ms (4.3% of total)ival-exp: 4.0ms (3.5% of total)ival-sub: 4.0ms (3.5% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(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 #s(literal -1 binary64) 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))) |
(-.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)) |
(exp.f64 (*.f64 (log.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 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
| Outputs |
|---|
(/ 1/2 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))))))) x) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
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))) |
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)))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* -1 x) |
(* -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 (pow x 3)) |
(* 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))) |
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) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(* x (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(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 (* x (+ 1 (* -1 (cos x))))) |
(- 1 (cos x)) |
(cos x) |
(+ 1 (cos x)) |
(* -1 (* x (cos x))) |
(* -1 (* x (- 1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (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 x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x))) |
| 6.0ms | x | @ | inf | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (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 x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x))) |
| 3.0ms | x | @ | 0 | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (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 x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 567 |
| 1 | 409 | 559 |
| 2 | 1171 | 552 |
| 3 | 4041 | 552 |
| 0 | 8239 | 517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 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))))))) x) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
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))) |
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)))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* -1 x) |
(* -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 (pow x 3)) |
(* 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))) |
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) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(* x (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(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 (* x (+ 1 (* -1 (cos x))))) |
(- 1 (cos x)) |
(cos x) |
(+ 1 (cos x)) |
(* -1 (* x (cos x))) |
(* -1 (* x (- 1 (cos x)))) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.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) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.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) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (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 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) 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)) |
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) |
(pow x 2) |
(*.f64 x 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 x) |
(neg.f64 x) |
(* -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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (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 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 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 #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 |
#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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* x (- (* (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))) x) |
(* x (- (* (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))) x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(* x (+ 1 (cos x))) |
(fma.f64 (cos.f64 x) x x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(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 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 162 |
| 0 | 60 | 151 |
| 1 | 203 | 130 |
| 2 | 1486 | 121 |
| 0 | 9871 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(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 #s(literal -1 binary64) 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))) |
(-.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)) |
(exp.f64 (*.f64 (log.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 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) x) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))) (*.f64 x (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 x) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (fma.f64 (neg.f64 x) (cos.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)))) |
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(neg.f64 (neg.f64 (sin.f64 x))) |
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(sin.f64 (neg.f64 (+.f64 x (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 x) |
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(cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (+.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)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(neg.f64 (*.f64 (cos.f64 x) x)) |
Compiled 22 921 to 2 936 computations (87.2% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 873 | 16 | 889 |
| Fresh | 6 | 3 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 882 | 22 | 904 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64))) | |
| 50.2% | (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x))) | |
| 50.2% | (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))) | |
| ▶ | 51.4% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
| 13.3% | (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64))) | |
| 72.3% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 2.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 43.1% | (/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| ✓ | 50.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 28.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 72.5% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| 43.1% | (/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 50.1% | (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) | |
| ▶ | 72.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ▶ | 54.0% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
| ▶ | 52.8% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ✓ | 51.3% | #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))) |
| ▶ | 50.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 652 to 430 computations (34% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) x) | |
| cost-diff | 1 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #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) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| 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))) (*.f64 x x)) | |
| cost-diff | 3 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 217 |
| 0 | 64 | 215 |
| 1 | 124 | 207 |
| 2 | 301 | 207 |
| 3 | 874 | 201 |
| 4 | 2761 | 201 |
| 5 | 5776 | 201 |
| 0 | 8174 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
x |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(neg.f64 x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(neg.f64 x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) | |
| accuracy | 0.171875 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) | |
| accuracy | 16.565101339408407 | (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) | |
| accuracy | 26.030487042833037 | #s(approx (+ (cos x) 1) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.0703125 | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| accuracy | 0.15625 | (/.f64 (cos.f64 x) x) | |
| accuracy | 30.538899985067317 | (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.171875 | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 30.120780014831375 | #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.060878759768442016 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 31.193196096745048 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 31.81975080662929 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| accuracy | 0.0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| accuracy | 16.799930806864566 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
| 63.0ms | 129× | 0 | valid |
| 63.0ms | 63× | 1 | valid |
| 62.0ms | 64× | 2 | valid |
Compiled 185 to 35 computations (81.1% saved)
ival-cos: 49.0ms (29.9% of total)ival-div: 31.0ms (18.9% of total)ival-add: 30.0ms (18.3% of total)ival-mult: 23.0ms (14% of total)adjust: 9.0ms (5.5% of total)const: 8.0ms (4.9% of total)ival-tan: 5.0ms (3.1% of total)ival-sin: 5.0ms (3.1% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) 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) |
(/ (+ 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))))))) x) |
(* 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)))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
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)))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ 1 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))) x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (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))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 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))))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(sin x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (cos x) x) |
(cos x) |
(* (pow x 2) (+ 1 (cos x))) |
(+ 1 (cos x)) |
(* x (+ 1 (cos x))) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x)) |
| 5.0ms | x | @ | -inf | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x)) |
| 2.0ms | x | @ | 0 | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 649 |
| 1 | 441 | 648 |
| 2 | 1258 | 636 |
| 3 | 4530 | 636 |
| 0 | 8847 | 592 |
| 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) |
(/ (+ 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))))))) x) |
(* 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)))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
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)))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ 1 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))) x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (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))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 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))))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(sin x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (cos x) x) |
(cos x) |
(* (pow x 2) (+ 1 (cos x))) |
(+ 1 (cos x)) |
(* x (+ 1 (cos x))) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
| 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 (*.f64 x x) #s(literal 1/720 binary64)) #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 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.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) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.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 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) |
(pow x 2) |
(*.f64 x x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 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 (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) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* x (- (* (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))) x) |
(* x (- (* (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))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (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)) 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 (*.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 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (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)) (*.f64 x x)) |
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 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) 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)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)) x) |
(* x (+ 2 (* (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))) (*.f64 #s(literal 2 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)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (- 1 (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 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (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) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(sin x) |
(sin.f64 x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(/ (- (cos x) 1) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(* (pow x 2) (+ 1 (cos x))) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* x (+ 1 (cos x))) |
(fma.f64 (cos.f64 x) x x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 193 |
| 0 | 64 | 191 |
| 1 | 212 | 176 |
| 2 | 1369 | 176 |
| 0 | 8552 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (fabs.f64 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) x) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.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))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.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))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 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) (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 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))))) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 x) x))) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 x) x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) x) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) 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 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.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 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.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) (/.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) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 (neg.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)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.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 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 (neg.f64 x) x)) |
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(cos.f64 x) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (fabs.f64 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) x) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) x) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (sin.f64 x)) x) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) x) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))))) x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) |
(/.f64 (sin.f64 x) (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) |
(*.f64 x (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) |
(*.f64 x #s(approx (+ (cos x) 1) #s(literal 2 binary64))) |
Compiled 16 812 to 2 302 computations (86.3% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 8 | 787 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 785 | 24 | 809 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64))) | |
| 50.3% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) | |
| 3.5% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| ▶ | 18.1% | (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
| 50.9% | (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x)) | |
| 72.3% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) | |
| 53.4% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| ▶ | 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 2.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 51.4% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| 43.1% | (/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| ✓ | 50.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 28.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 51.4% | (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) | |
| ▶ | 72.5% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
| 43.1% | (/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| ▶ | 50.1% | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
| ✓ | 72.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 52.8% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ✓ | 51.3% | #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))) |
| ✓ | 50.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 676 to 436 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f64 x #s(literal -1 binary64)) | |
| cost-diff | 2 | (*.f64 x (*.f64 (neg.f64 x) x)) | |
| cost-diff | 3 | (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) | |
| cost-diff | 6 | (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 1 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 5 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| cost-diff | 3 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 183 |
| 0 | 55 | 176 |
| 1 | 114 | 174 |
| 2 | 354 | 168 |
| 3 | 1785 | 152 |
| 4 | 5602 | 148 |
| 0 | 8317 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sin.f64 x) |
(*.f64 x 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 (neg.f64 x) x)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sin.f64 x) |
(*.f64 x 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (*.f64 x (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.15625 | (/.f64 (cos.f64 x) x) | |
| accuracy | 25.830390600554217 | (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) | |
| accuracy | 46.51663353142566 | (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.40209499076022404 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 0.4101811672367336 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) | |
| accuracy | 31.09043068713966 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| accuracy | 13.630771606027665 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 16.45745326011227 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 13.630771606027665 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 17.034037738051445 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 29.03315870686602 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16015625 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) | |
| accuracy | 17.034037738051445 | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
| 110.0ms | 79× | 2 | valid |
| 47.0ms | 35× | 1 | valid |
| 35.0ms | 129× | 0 | valid |
| 12.0ms | 13× | 3 | valid |
Compiled 181 to 30 computations (83.4% saved)
ival-div: 55.0ms (33.1% of total)ival-mult: 55.0ms (33.1% of total)ival-cos: 26.0ms (15.6% of total)adjust: 9.0ms (5.4% of total)ival-tan: 5.0ms (3% of total)ival-sin: 5.0ms (3% of total)ival-neg: 4.0ms (2.4% of total)ival-sub: 4.0ms (2.4% of total)ival-add: 2.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(*.f64 x #s(literal -1 binary64)) |
(sin.f64 x) |
(/.f64 (cos.f64 x) 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))) |
(* 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 |
(+ 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) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ -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) |
(* -1/2 (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 (pow x 3)) |
(* -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)))) |
(/ 1 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))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (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 x)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(* x (- (cos x) 1)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(sin x) |
(/ (cos x) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | inf | ((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x)) |
| 4.0ms | x | @ | -inf | ((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x)) |
| 2.0ms | x | @ | 0 | ((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 588 |
| 1 | 399 | 581 |
| 2 | 1197 | 568 |
| 3 | 4976 | 568 |
| 0 | 8569 | 532 |
| 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))) |
(* 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 |
(+ 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) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ -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) |
(* -1/2 (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 (pow x 3)) |
(* -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)))) |
(/ 1 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))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (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 x)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(* x (- (cos x) 1)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(sin x) |
(/ (cos x) x) |
(* -1 (* x (+ 1 (* -1 (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)) |
(* 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 |
#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) |
(* 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) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.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 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 1/2 binary64) 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 x x) #s(literal 1/2 binary64)) #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 x x) #s(literal 1/2 binary64)) #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 x x) #s(literal 1/2 binary64)) #s(literal 1 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 (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))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (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)) x) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 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))) |
(/ (- 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 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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)) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(sin x) |
(sin.f64 x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 146 |
| 0 | 55 | 140 |
| 1 | 194 | 115 |
| 2 | 1520 | 113 |
| 0 | 8484 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(*.f64 x #s(literal -1 binary64)) |
(sin.f64 x) |
(/.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))) |
(/.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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) |
(/.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))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(/.f64 (+.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x x)) (/.f64 x (*.f64 x x))) x) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) x) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) x) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (*.f64 x x)) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (*.f64 x x)))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (*.f64 x (/.f64 #s(literal -1 binary64) x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 x)))) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (neg.f64 x)))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 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)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (cos.f64 x) (neg.f64 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)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.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 (neg.f64 (neg.f64 x)) (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.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))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) |
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(/.f64 (-.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (*.f64 x (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (cos.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) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 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)) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(fma.f64 (/.f64 x x) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)) (/.f64 x x) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) x) (/.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) x) x) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 x x) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (/.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 x (pow.f64 x #s(literal -3 binary64)) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 (cos.f64 x) 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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(sin.f64 x) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) (neg.f64 (neg.f64 x))) |
(/.f64 (cos.f64 x) x) |
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 x))) |
Compiled 15 208 to 2 283 computations (85% saved)
28 alts after pruning (19 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 737 | 6 | 743 |
| Fresh | 0 | 13 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 739 | 28 | 767 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64))) | |
| 18.1% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x))) | |
| 50.3% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) | |
| 3.5% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| 50.9% | (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x)) | |
| 3.0% | (/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) | |
| 72.3% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) | |
| 53.4% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) | |
| 24.8% | (/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 2.1% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 51.4% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| 43.1% | (/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| ✓ | 50.2% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 28.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 51.4% | (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) | |
| ✓ | 72.5% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
| 51.3% | (/.f64 #s(approx (/ (- 1 (cos x)) x) (*.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) | |
| 43.1% | (/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x))) | |
| 48.9% | (-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (PI.f64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| 50.1% | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| ✓ | 72.9% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 52.8% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 50.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ✓ | 51.3% | #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))) |
| ✓ | 50.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 181 to 487 computations (58.8% saved)
| Inputs |
|---|
#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 (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.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) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) 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 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (PI.f64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.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 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.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 (fma.f64 (cos.f64 x) x 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 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(-.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))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 43.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.6% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#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 (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.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) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#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 (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.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) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 77.5% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
Total -0.9b remaining (-2.8%)
Threshold costs -0.9b (-2.8%)
| Inputs |
|---|
#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 (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 52.0% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 3.1303685383365856e-11 | 0.161541516508494 |
| 16.0ms | 160× | 0 | valid |
Compiled 191 to 170 computations (11% saved)
ival-cos: 2.0ms (45.7% of total)ival-sub: 1.0ms (22.9% of total)ival-div: 1.0ms (22.9% of total)ival-mult: 1.0ms (22.9% 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 |
|---|---|---|
| 1.0ms | 3.1303685383365856e-11 | 0.161541516508494 |
Compiled 191 to 170 computations (11% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.4931976155390866e+77 | 1.1303366247732584e+78 |
| 17.0ms | 96× | 0 | valid |
Compiled 131 to 112 computations (14.5% saved)
ival-cos: 3.0ms (59.4% of total)ival-mult: 1.0ms (19.8% of total)ival-sub: 0.0ms (0% of total)ival-div: 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 78 |
| 1 | 45 | 78 |
| 2 | 87 | 78 |
| 3 | 136 | 78 |
| 4 | 185 | 78 |
| 5 | 247 | 78 |
| 6 | 339 | 78 |
| 7 | 576 | 78 |
| 8 | 1246 | 78 |
| 9 | 2709 | 78 |
| 10 | 6894 | 78 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) #s(approx (/ (- 1 (cos x)) (* 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)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) #s(approx (/ (- 1 (cos x)) (* 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)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 105 to 46 computations (56.2% saved)
Compiled 216 to 94 computations (56.5% saved)
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