
Time bar (total: 8.9s)
| 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)
| 915.0ms | 4 258× | 0 | valid |
| 833.0ms | 2 269× | 2 | valid |
| 213.0ms | 543× | 3 | valid |
| 152.0ms | 1 186× | 1 | valid |
ival-cos: 1.4s (79% of total)ival-div: 126.0ms (7.1% of total)adjust: 95.0ms (5.4% of total)ival-sub: 81.0ms (4.6% of total)ival-mult: 55.0ms (3.1% of total)ival-true: 7.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 2 | (-9.546298760416035e+44) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 61 | 2 | (-3.952617624285194e+161) | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 74 | 6 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 61 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 61 | |
| ↳ | (*.f64 x x) | underflow | 61 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 0 |
| - | 10 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 0 |
| - | 10 | 6 | 113 |
| number | freq |
|---|---|
| 0 | 119 |
| 1 | 137 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 150× | 2 | valid |
| 21.0ms | 260× | 0 | valid |
| 15.0ms | 34× | 3 | valid |
| 9.0ms | 68× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 47.0ms (67.5% of total)ival-div: 6.0ms (8.6% of total)adjust: 6.0ms (8.6% of total)ival-sub: 6.0ms (8.6% of total)ival-mult: 4.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 32 | 17 |
| 2 | 102 | 16 |
| 3 | 300 | 16 |
| 4 | 772 | 16 |
| 5 | 1212 | 16 |
| 6 | 1321 | 16 |
| 7 | 1337 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 19 | 8 |
| 2 | 30 | 8 |
| 3 | 46 | 8 |
| 4 | 82 | 8 |
| 5 | 131 | 8 |
| 6 | 188 | 8 |
| 7 | 324 | 8 |
| 8 | 629 | 8 |
| 9 | 1047 | 8 |
| 10 | 1179 | 8 |
| 0 | 1179 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 30 | 19 |
| 3 | 46 | 19 |
| 4 | 82 | 19 |
| 5 | 131 | 19 |
| 6 | 188 | 19 |
| 7 | 324 | 19 |
| 8 | 629 | 19 |
| 9 | 1047 | 19 |
| 10 | 1179 | 19 |
| 0 | 1179 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 14.880073216276232 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 20.0ms | 75× | 2 | valid |
| 11.0ms | 130× | 0 | valid |
| 8.0ms | 17× | 3 | valid |
| 4.0ms | 34× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 23.0ms (68.8% of total)ival-div: 3.0ms (9% of total)adjust: 3.0ms (9% of total)ival-sub: 2.0ms (6% of total)ival-mult: 2.0ms (6% 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 | 105 | 153 |
| 2 | 258 | 153 |
| 3 | 601 | 153 |
| 4 | 1281 | 153 |
| 5 | 1981 | 153 |
| 6 | 2536 | 153 |
| 7 | 3409 | 153 |
| 8 | 4960 | 153 |
| 9 | 6581 | 153 |
| 10 | 7480 | 153 |
| 11 | 7690 | 153 |
| 12 | 7708 | 153 |
| 13 | 7710 | 153 |
| 0 | 8119 | 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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #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)) |
(*.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 (*.f64 (fma.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x 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 (fma.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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (cos 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 | 40 | 17 |
| 2 | 270 | 17 |
| 3 | 2843 | 17 |
| 0 | 9915 | 17 |
| 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 (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(*.f64 #s(literal -1 binary64) (pow.f64 (neg.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)) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 13 688 to 1 661 computations (87.9% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 628 | 17 | 645 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 628 | 18 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.8% | (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 75.8% | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 51.7% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
| 19.5% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 14.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 50.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 51.0% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) | |
| 51.9% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 76.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 468 to 316 computations (32.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 2 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| cost-diff | 0 | (neg.f64 (/.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 1 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| cost-diff | 3 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 175 |
| 0 | 56 | 177 |
| 1 | 98 | 174 |
| 2 | 205 | 174 |
| 3 | 502 | 167 |
| 4 | 1869 | 166 |
| 5 | 5319 | 166 |
| 6 | 7015 | 166 |
| 0 | 8064 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 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 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal -1/40320 binary64) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
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) |
#s(literal 2 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 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal -1/40320 binary64) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.11003876953688403 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| accuracy | 14.690251654172947 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.09765625 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| accuracy | 0.125 | (/.f64 (cos.f64 x) x) | |
| accuracy | 30.487534351589733 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) | |
| accuracy | 31.7004715586192 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 30.94386418450768 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 14.693445083354353 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 54.0ms | 130× | 0 | valid |
| 52.0ms | 58× | 2 | valid |
| 37.0ms | 68× | 1 | valid |
Compiled 164 to 34 computations (79.3% saved)
ival-cos: 24.0ms (20% of total)ival-div: 23.0ms (19.1% of total)adjust: 12.0ms (10% of total)const: 12.0ms (10% of total)ival-mult: 12.0ms (10% of total)ival-pow: 10.0ms (8.3% of total)ival-tan: 8.0ms (6.7% of total)ival-sin: 6.0ms (5% of total)ival-add: 5.0ms (4.2% of total)ival-sub: 4.0ms (3.3% of total)ival-neg: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (cos.f64 x) x) |
(cos.f64 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 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
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) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
1/720 |
(+ 1/720 (* -1/40320 (pow x 2))) |
(* -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) |
(/ (- (* 1/2 (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) x) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 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 (* -1/2 (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))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) (pow x 2)) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (cos x) x) |
(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 | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (pow x -1) (/ x (- 1 (cos x)))) (pow x -1) (/ x (- 1 (cos x))) (- 1 (cos x)) (tan (/ x 2)) (/ (cos x) x) (cos x)) |
| 6.0ms | x | @ | inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (pow x -1) (/ x (- 1 (cos x)))) (pow x -1) (/ x (- 1 (cos x))) (- 1 (cos x)) (tan (/ x 2)) (/ (cos x) x) (cos x)) |
| 3.0ms | x | @ | 0 | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (pow x -1) (/ x (- 1 (cos x)))) (pow x -1) (/ x (- 1 (cos x))) (- 1 (cos x)) (tan (/ x 2)) (/ (cos x) x) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 690 |
| 1 | 406 | 690 |
| 2 | 998 | 684 |
| 3 | 2964 | 678 |
| 4 | 5784 | 678 |
| 0 | 8093 | 611 |
| 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 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
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) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
1/720 |
(+ 1/720 (* -1/40320 (pow x 2))) |
(* -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) |
(/ (- (* 1/2 (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) x) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 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 (* -1/2 (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))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) (pow x 2)) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (cos x) x) |
(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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(+ 1/720 (* -1/40320 (pow x 2))) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.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 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 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 (*.f64 (fma.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #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 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 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) |
(/ (* (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 x) (pow x 2)) |
(/.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) |
(* -1/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/40320 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)))) |
(* -1/40320 (pow x 2)) |
(*.f64 #s(literal -1/40320 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
(/ (- (cos x) 1) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 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))) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 152 |
| 0 | 56 | 154 |
| 1 | 220 | 144 |
| 2 | 1581 | 144 |
| 0 | 8497 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x))) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (neg.f64 x))) |
(sin.f64 x) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
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(fma.f64 x (*.f64 #s(literal -1/40320 binary64) x) #s(literal 1/720 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #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 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.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 (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 (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 (fma.f64 #s(literal -1 binary64) (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) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (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 (-.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.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 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.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))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (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 (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 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(pow.f64 (/.f64 (/.f64 x (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) x) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
Compiled 22 757 to 3 209 computations (85.9% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 012 | 12 | 1 024 |
| Fresh | 4 | 8 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 019 | 23 | 1 042 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 50.9% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 51.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| ▶ | 51.7% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| ▶ | 3.6% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
| 51.7% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| 19.5% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 14.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) | |
| 75.9% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| ▶ | 99.5% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 50.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 50.9% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 51.9% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 76.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) | |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 601 to 395 computations (34.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 1 | (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) | |
| cost-diff | 1 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) | |
| cost-diff | 3 | (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| cost-diff | 0 | (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 1 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) | |
| cost-diff | 3 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 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) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 209 |
| 0 | 62 | 206 |
| 1 | 114 | 202 |
| 2 | 239 | 196 |
| 3 | 542 | 194 |
| 4 | 1508 | 194 |
| 5 | 2495 | 190 |
| 6 | 3420 | 190 |
| 7 | 3760 | 190 |
| 8 | 3901 | 190 |
| 9 | 3964 | 190 |
| 10 | 3972 | 190 |
| 11 | 4071 | 190 |
| 12 | 4322 | 190 |
| 13 | 4346 | 190 |
| 14 | 4346 | 190 |
| 15 | 4346 | 190 |
| 16 | 4350 | 190 |
| 17 | 4358 | 190 |
| 0 | 4358 | 190 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
#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 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.09765625 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) | |
| accuracy | 0.158535009768442 | (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) | |
| accuracy | 30.487534351589733 | (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.11003876953688403 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| accuracy | 14.690251654172947 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.09765625 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) | |
| accuracy | 0.125 | (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) | |
| accuracy | 30.487534351589733 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) | |
| accuracy | 31.38871411909748 | #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 31.683277644490207 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.05078125 | (*.f64 x (/.f64 x (sin.f64 x))) | |
| accuracy | 0.14453125 | (/.f64 x (sin.f64 x)) | |
| accuracy | 0.27612733140541884 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 96.0ms | 58× | 2 | valid |
| 61.0ms | 130× | 0 | valid |
| 29.0ms | 68× | 1 | valid |
Compiled 171 to 35 computations (79.5% saved)
ival-div: 50.0ms (38.2% of total)ival-cos: 24.0ms (18.3% of total)ival-mult: 16.0ms (12.2% of total)ival-sin: 11.0ms (8.4% of total)adjust: 9.0ms (6.9% of total)ival-sub: 6.0ms (4.6% of total)ival-tan: 6.0ms (4.6% of total)const: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)ival-add: 2.0ms (1.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (/.f64 x (sin.f64 x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) |
(cos.f64 x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
(pow x 2) |
(* -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) |
(/ (- (* 1/2 (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) x) |
(/ 1 x) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(* 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 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(/ (+ 1 (* -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))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (pow x 2) (sin x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ x (sin x)) |
(sin x) |
(cos x) |
(/ (cos x) x) |
(* -1 (/ (- 1 (cos x)) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ x (sin x)) (sin x) (cos x) (/ (cos x) x) (cos x)) |
| 4.0ms | x | @ | -inf | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ x (sin x)) (sin x) (cos x) (/ (cos x) x) (cos x)) |
| 2.0ms | x | @ | 0 | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ x (sin x)) (sin x) (cos x) (/ (cos x) x) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 621 |
| 1 | 429 | 621 |
| 2 | 1088 | 609 |
| 3 | 3213 | 603 |
| 4 | 4607 | 603 |
| 5 | 6551 | 601 |
| 0 | 8064 | 535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
(pow x 2) |
(* -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) |
(/ (- (* 1/2 (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) x) |
(/ 1 x) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(* 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 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(/ (+ 1 (* -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))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (pow x 2) (sin x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ x (sin x)) |
(sin x) |
(cos x) |
(/ (cos x) x) |
(* -1 (/ (- 1 (cos x)) 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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #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) |
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) (+ 1/6 (* 7/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.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 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 (fma.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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 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))) |
(/ (pow x 2) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(/ (- (cos x) 1) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(cos x) |
(cos.f64 x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 178 |
| 0 | 62 | 175 |
| 1 | 234 | 163 |
| 2 | 1753 | 161 |
| 0 | 8881 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (/.f64 x (sin.f64 x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(pow.f64 (/.f64 x (neg.f64 (cos.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(*.f64 x (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(/.f64 x (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (neg.f64 x))) |
(sin.f64 x) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x)) |
(pow.f64 (/.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(/.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
Compiled 24 035 to 3 165 computations (86.8% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 093 | 5 | 1 098 |
| Fresh | 0 | 15 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 094 | 27 | 1 121 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 50.9% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 3.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) | |
| ✓ | 51.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| 27.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) | |
| ▶ | 51.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
| ▶ | 78.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 51.7% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| 51.7% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| 19.5% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 14.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) | |
| 75.9% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| ✓ | 99.5% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| ▶ | 50.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 50.9% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 51.9% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 3.6% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
| 76.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) | |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 676 to 451 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| cost-diff | 3 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| cost-diff | 0 | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) | |
| cost-diff | 1 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) | |
| cost-diff | 2 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) 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 | #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 2 | (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 225 |
| 0 | 60 | 222 |
| 1 | 110 | 221 |
| 2 | 224 | 214 |
| 3 | 529 | 211 |
| 4 | 1830 | 211 |
| 5 | 3754 | 211 |
| 6 | 4636 | 211 |
| 7 | 4932 | 211 |
| 8 | 5198 | 211 |
| 9 | 5366 | 211 |
| 10 | 5369 | 211 |
| 11 | 5445 | 208 |
| 12 | 5679 | 208 |
| 13 | 6238 | 208 |
| 14 | 7135 | 208 |
| 15 | 7444 | 208 |
| 16 | 7716 | 208 |
| 17 | 8000 | 208 |
| 0 | 8010 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x 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(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 x x) |
x |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ x (- 1 (cos x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
#s(literal 2 binary64) |
(/.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) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (-.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(*.f64 x x) |
x |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11003876953688403 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 14.900125381586063 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.29175233140541884 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 15.252610889632013 | (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| accuracy | 15.421906190536697 | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 14.619217267301693 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) | |
| accuracy | 31.38871411909748 | #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 14.880073216276232 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 15.421906190536697 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.62600633407011 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.11003876953688403 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 14.699186575875324 | (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 26.986760032636344 | #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
| 214.0ms | 75× | 2 | valid |
| 79.0ms | 130× | 0 | valid |
| 13.0ms | 36× | 1 | valid |
| 12.0ms | 15× | 3 | valid |
Compiled 178 to 31 computations (82.6% saved)
ival-div: 187.0ms (64.3% of total)ival-mult: 41.0ms (14.1% of total)ival-cos: 22.0ms (7.6% of total)adjust: 21.0ms (7.2% of total)ival-add: 10.0ms (3.4% of total)ival-sub: 5.0ms (1.7% of total)const: 4.0ms (1.4% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) 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(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(neg.f64 x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| Outputs |
|---|
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
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 x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 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) |
(* -1/2 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)) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(/ -2 (pow x 2)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(* 1/6 x) |
(* x (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(cos x) |
(* -1 (/ (- 1 (cos x)) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (pow x 2) (- (cos x) 1)) |
(- (cos x) 1) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ -1 (- 1 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (+ (* 1/6 (* x x)) 2) x) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* (/ (- 1 (cos x)) (neg x)) (/ -1 x)) (/ (- 1 (cos x)) (neg x)) (- 1 (cos x)) (cos x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (* (neg x) (/ -1 (- 1 (cos x)))) (/ (/ 1 x) (* (neg x) (/ -1 (- 1 (cos x))))) (neg x) (+ (* 1/6 (* x x)) 2) (cos x) (- 1 (cos x)) (/ -1 (- 1 (cos x)))) |
| 3.0ms | x | @ | -inf | ((/ (+ (* 1/6 (* x x)) 2) x) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* (/ (- 1 (cos x)) (neg x)) (/ -1 x)) (/ (- 1 (cos x)) (neg x)) (- 1 (cos x)) (cos x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (* (neg x) (/ -1 (- 1 (cos x)))) (/ (/ 1 x) (* (neg x) (/ -1 (- 1 (cos x))))) (neg x) (+ (* 1/6 (* x x)) 2) (cos x) (- 1 (cos x)) (/ -1 (- 1 (cos x)))) |
| 2.0ms | x | @ | 0 | ((/ (+ (* 1/6 (* x x)) 2) x) (/ (/ 1 x) (/ x (- 1 (cos x)))) (/ 1 x) (/ x (- 1 (cos x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* (/ (- 1 (cos x)) (neg x)) (/ -1 x)) (/ (- 1 (cos x)) (neg x)) (- 1 (cos x)) (cos x) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (* (neg x) (/ -1 (- 1 (cos x)))) (/ (/ 1 x) (* (neg x) (/ -1 (- 1 (cos x))))) (neg x) (+ (* 1/6 (* x x)) 2) (cos x) (- 1 (cos x)) (/ -1 (- 1 (cos x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 477 |
| 1 | 272 | 477 |
| 2 | 693 | 468 |
| 3 | 1698 | 460 |
| 4 | 3607 | 460 |
| 5 | 6623 | 460 |
| 0 | 8145 | 412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
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 x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 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) |
(* -1/2 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)) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(/ -2 (pow x 2)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(* 1/6 x) |
(* x (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(cos x) |
(* -1 (/ (- 1 (cos x)) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (pow x 2) (- (cos x) 1)) |
(- (cos x) 1) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ -1 (- 1 (cos x))) |
| Outputs |
|---|
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(fma.f64 #s(literal 1/6 binary64) x (/.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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (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 (fma.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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x 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 (fma.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 (fma.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) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.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 (fma.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -1/120 binary64) x) x (-.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3024 binary64) (*.f64 x x) #s(literal -1/120 binary64)) x) x (-.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (pow x 2) (- (cos x) 1)) |
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(- (cos x) 1) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) |
(/ -1 (- 1 (cos x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 184 |
| 0 | 60 | 180 |
| 1 | 239 | 171 |
| 2 | 1763 | 170 |
| 0 | 8376 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) 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(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(neg.f64 x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (neg.f64 x)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 x)))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) x))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))) |
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 x)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 8 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.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))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #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))) #s(literal 1 binary64))) |
(-.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)) #s(literal 1 binary64)) (/.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))) #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 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (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)) (neg.f64 (/.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)) (neg.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 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal -1 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 #s(literal -1 binary64) (-.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 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (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 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
Compiled 24 583 to 3 245 computations (86.8% saved)
35 alts after pruning (25 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 036 | 13 | 1 049 |
| Fresh | 3 | 12 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 041 | 35 | 1 076 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) | |
| 26.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 50.9% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ✓ | 51.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| ✓ | 51.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
| 78.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) x))) | |
| 30.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) | |
| 78.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) | |
| 78.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) | |
| 78.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) | |
| 30.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) | |
| 78.2% | (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| ✓ | 51.7% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| 51.7% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| 19.5% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 51.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.9% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 14.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) | |
| 75.9% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| ✓ | 99.5% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 78.3% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) | |
| 50.8% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| ✓ | 50.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 78.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) | |
| 50.9% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 51.9% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 76.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 78.3% | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) | |
| 51.5% | (*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) | |
| 50.9% | #s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| 50.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) | |
| ✓ | 51.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 314 to 581 computations (55.8% 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
2 calls:
| 33.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
2 calls:
| 22.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 13.0ms | x |
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
2 calls:
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 78.4% | 1 | 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) #s(approx (/ (+ (* 1/6 (* x x)) 2) x) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
2 calls:
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 78.4% | 1 | 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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (/ (- 1 (cos x)) (neg x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1 x) (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| 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:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 76.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
Total -0.8b remaining (-2.7%)
Threshold costs -0.8b (-2.7%)
| 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))) |
| 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 |
|---|---|---|
| 51.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 51.7% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.0001809111069724862 | 1.6475452680403326 |
| 2.0ms | 48× | 0 | valid |
Compiled 89 to 73 computations (18% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0001809111069724862 | 1.6475452680403326 |
| 8.0ms | 96× | 0 | valid |
Compiled 195 to 162 computations (16.9% saved)
ival-div: 1.0ms (35.8% of total)ival-cos: 1.0ms (35.8% of total)ival-mult: 1.0ms (35.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0001809111069724862 | 1.6475452680403326 |
Compiled 195 to 162 computations (16.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.647965937542929e+67 | 5.528952311323937e+78 |
| 15.0ms | 160× | 0 | valid |
Compiled 211 to 180 computations (14.7% saved)
ival-cos: 5.0ms (43.9% of total)ival-sub: 4.0ms (35.1% of total)ival-div: 1.0ms (8.8% of total)ival-mult: 1.0ms (8.8% 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 | 55 | 167 |
| 1 | 74 | 167 |
| 2 | 94 | 167 |
| 3 | 124 | 167 |
| 4 | 184 | 167 |
| 5 | 306 | 167 |
| 6 | 612 | 167 |
| 7 | 1943 | 167 |
| 8 | 5544 | 167 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 76000000000000004862120657096007909209422644572716475826280587491460964679680 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 |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ x (- 1 (cos x))) (pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 76000000000000004862120657096007909209422644572716475826280587491460964679680 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 | 110 | 477 |
| 1 | 272 | 477 |
| 2 | 693 | 468 |
| 3 | 1698 | 460 |
| 4 | 3607 | 460 |
| 5 | 6623 | 460 |
| 0 | 8145 | 412 |
| 0 | 34 | 184 |
| 0 | 60 | 180 |
| 1 | 239 | 171 |
| 2 | 1763 | 170 |
| 0 | 8376 | 170 |
| 0 | 42 | 153 |
| 1 | 105 | 153 |
| 2 | 258 | 153 |
| 3 | 601 | 153 |
| 4 | 1281 | 153 |
| 5 | 1981 | 153 |
| 6 | 2536 | 153 |
| 7 | 3409 | 153 |
| 8 | 4960 | 153 |
| 9 | 6581 | 153 |
| 10 | 7480 | 153 |
| 11 | 7690 | 153 |
| 12 | 7708 | 153 |
| 13 | 7710 | 153 |
| 0 | 8119 | 135 |
| 0 | 160 | 621 |
| 1 | 429 | 621 |
| 2 | 1088 | 609 |
| 3 | 3213 | 603 |
| 4 | 4607 | 603 |
| 5 | 6551 | 601 |
| 0 | 8064 | 535 |
| 0 | 34 | 152 |
| 0 | 56 | 154 |
| 1 | 220 | 144 |
| 2 | 1581 | 144 |
| 0 | 8497 | 144 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 270 | 17 |
| 3 | 2843 | 17 |
| 0 | 9915 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 335 to 170 computations (49.3% saved)
Compiled 470 to 200 computations (57.4% saved)
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