
Time bar (total: 6.4s)
| 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)
| 908.0ms | 2 251× | 2 | valid |
| 359.0ms | 4 135× | 0 | valid |
| 270.0ms | 635× | 3 | valid |
| 128.0ms | 1 235× | 1 | valid |
ival-cos: 881.0ms (61.1% of total)adjust: 221.0ms (15.3% of total)ival-div: 183.0ms (12.7% of total)ival-sub: 88.0ms (6.1% of total)ival-mult: 54.0ms (3.7% of total)ival-true: 6.0ms (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 |
|---|---|---|---|---|---|
| 81 | 1 | (-4.634349541470407e+188) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 57 | 1 | (-1.9569166740367653e+161) | 1 | (4.860080160313404e-157) | (/.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 | 82 | 2 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 55 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 55 | |
| ↳ | (*.f64 x x) | underflow | 55 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 0 |
| - | 4 | 117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 0 |
| - | 4 | 2 | 115 |
| number | freq |
|---|---|
| 0 | 117 |
| 1 | 139 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 116× | 2 | valid |
| 27.0ms | 50× | 3 | valid |
| 23.0ms | 250× | 0 | valid |
| 11.0ms | 96× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 48.0ms (64.4% of total)adjust: 9.0ms (12.1% of total)ival-div: 6.0ms (8% of total)ival-mult: 6.0ms (8% of total)ival-sub: 5.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 35 | 17 |
| 2 | 103 | 17 |
| 3 | 180 | 17 |
| 4 | 398 | 16 |
| 5 | 1952 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 27 | 8 |
| 2 | 65 | 8 |
| 3 | 129 | 8 |
| 4 | 298 | 8 |
| 5 | 1569 | 8 |
| 0 | 8370 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 27 | 19 |
| 2 | 65 | 19 |
| 3 | 129 | 19 |
| 4 | 298 | 19 |
| 5 | 1569 | 19 |
| 0 | 8370 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 13.614986408004977 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 17.66529289051733 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 29.0ms | 58× | 2 | valid |
| 14.0ms | 125× | 0 | valid |
| 13.0ms | 25× | 3 | valid |
| 5.0ms | 48× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 27.0ms (52% of total)ival-div: 16.0ms (30.8% of total)adjust: 4.0ms (7.7% of total)ival-sub: 3.0ms (5.8% of total)ival-mult: 2.0ms (3.9% 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 | @ | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 337 | 153 |
| 3 | 1197 | 153 |
| 4 | 2984 | 153 |
| 5 | 7895 | 153 |
| 0 | 8004 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) 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 | 45 | 17 |
| 0 | 348 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 877 to 210 computations (76.1% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 13 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 14 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 77.8% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
| 14.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 x x)) | |
| 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 3.0% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) | |
| 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 77.9% | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
| 50.3% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ▶ | 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 430 to 282 computations (34.4% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 3 | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 2 | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 219 |
| 0 | 53 | 218 |
| 1 | 111 | 209 |
| 2 | 377 | 209 |
| 3 | 1565 | 209 |
| 4 | 5231 | 206 |
| 0 | 8259 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/40320 binary64) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -1/40320 binary64) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.181972509768442 | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.25619125976844204 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| accuracy | 0.42234262375216364 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.614986408004977 | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.16796875 | (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) | |
| accuracy | 14.247332556200373 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) | |
| accuracy | 30.471740241761683 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.09765625 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| accuracy | 0.2578125 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 30.187125136839043 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 30.04328104085072 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.10546875 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 0.25619125976844204 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| accuracy | 0.42234262375216364 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.530910353045874 | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
| 78.0ms | 59× | 2 | valid |
| 37.0ms | 125× | 0 | valid |
| 35.0ms | 48× | 1 | valid |
| 33.0ms | 24× | 3 | valid |
Compiled 195 to 33 computations (83.1% saved)
adjust: 49.0ms (31.4% of total)ival-mult: 23.0ms (14.7% of total)const: 22.0ms (14.1% of total)ival-cos: 20.0ms (12.8% of total)ival-sub: 12.0ms (7.7% of total)ival-div: 10.0ms (6.4% of total)ival-add: 9.0ms (5.8% of total)ival-sin: 6.0ms (3.8% of total)ival-pow: 3.0ms (1.9% 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 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (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)))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* 1/720 (pow x 2)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* (pow x 2) (+ 1 (cos x))) |
(pow (sin x) 2) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (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))))) |
(/ (pow (sin x) 2) (+ 1 (cos x))) |
(+ 1 (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (+ (cos x) 1) (* x x)) (* (sin x) (sin x)) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (- (* 1/720 (* x x)) 1/24) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (* x x)) 1/2) (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (cos x) 1) (* 1/720 x) (* 1/720 (* x x))) |
| 3.0ms | x | @ | inf | ((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (+ (cos x) 1) (* x x)) (* (sin x) (sin x)) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (- (* 1/720 (* x x)) 1/24) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (* x x)) 1/2) (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (cos x) 1) (* 1/720 x) (* 1/720 (* x x))) |
| 2.0ms | x | @ | 0 | ((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (+ (cos x) 1) (* x x)) (* (sin x) (sin x)) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (- (* 1/720 (* x x)) 1/24) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (* x x)) 1/2) (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 1/24)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (cos x) 1) (* 1/720 x) (* 1/720 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 502 |
| 1 | 354 | 502 |
| 2 | 1082 | 486 |
| 3 | 3242 | 486 |
| 0 | 8100 | 450 |
| 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))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (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)))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* 1/720 (pow x 2)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* (pow x 2) (+ 1 (cos x))) |
(pow (sin x) 2) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (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))))) |
(/ (pow (sin x) 2) (+ 1 (cos x))) |
(+ 1 (cos x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (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)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(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)) |
(* 1/2 (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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)) |
(* (pow x 2) (+ 1 (cos x))) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin x) |
(sin.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x) |
(* -1/40320 (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 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/720 binary64) (*.f64 x x))) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 4 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 (sin x) 2) (+ 1 (cos x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(+ 1 (cos x)) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 177 |
| 0 | 53 | 173 |
| 1 | 228 | 158 |
| 0 | 1720 | 158 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))) |
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))) |
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) |
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 x (*.f64 #s(literal 1/720 binary64) x)) |
Compiled 9 982 to 1 318 computations (86.8% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 12 | 410 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 406 | 18 | 424 |
| Status | Accuracy | Program |
|---|---|---|
| 77.9% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) | |
| 77.9% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 14.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| ▶ | 14.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 49.6% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
| 50.3% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
| 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) | |
| ▶ | 52.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 78.5% | #s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
Compiled 618 to 414 computations (33% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 1 | (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 2 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 265 |
| 0 | 71 | 259 |
| 1 | 164 | 245 |
| 2 | 666 | 235 |
| 3 | 3360 | 235 |
| 0 | 8450 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24836967183779562 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.42234262375216364 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.530910353045874 | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) | |
| accuracy | 17.647236210135954 | (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| accuracy | 0.13738251953688402 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 15.409011663350999 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| accuracy | 43.682965972444194 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0.2578125 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -1/24 binary64) x) | |
| accuracy | 11.187500000000002 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) | |
| accuracy | 30.187125136839043 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.04296875 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 30.187125136839043 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 31.040565727197002 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.09603500976844202 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) | |
| accuracy | 0.12109375 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| accuracy | 0.16015625 | (/.f64 (sin.f64 x) x) |
| 111.0ms | 59× | 2 | valid |
| 71.0ms | 125× | 0 | valid |
| 62.0ms | 25× | 3 | valid |
| 28.0ms | 47× | 1 | valid |
Compiled 236 to 41 computations (82.6% saved)
adjust: 44.0ms (18.2% of total)ival-add: 41.0ms (17% of total)ival-div: 40.0ms (16.6% of total)ival-cos: 38.0ms (15.7% of total)ival-mult: 30.0ms (12.4% of total)ival-sin: 30.0ms (12.4% of total)const: 8.0ms (3.3% of total)ival-sub: 7.0ms (2.9% of total)ival-tan: 5.0ms (2.1% 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 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/720 (pow x 3)) |
(pow x 4) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(+ 1/2 (* -1 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
(* -1/24 x) |
(* 1/720 x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) x) |
(sin x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (cos x))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(* (pow x 2) (+ 1 (cos x))) |
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))) |
(* 1/2 (cos (* 2 x))) |
(* (pow x 2) (cos x)) |
(+ 1 (cos x)) |
(cos (* 2 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) (/ (tan (/ x 2)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (+ (* (* (* x x) (* 1/720 x)) x) (+ (* (* -1/24 x) x) 1/2)) (* (* x x) (* 1/720 x)) (/ (- 1 (cos x)) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (* (* x x) (* x x)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x)) (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (* (cos (* 2 x)) 1/2) (* -1/24 x) (* 1/720 x) (* (* x x) (cos x)) (+ (cos x) 1) (cos (* 2 x))) |
| 6.0ms | x | @ | inf | ((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) (/ (tan (/ x 2)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (+ (* (* (* x x) (* 1/720 x)) x) (+ (* (* -1/24 x) x) 1/2)) (* (* x x) (* 1/720 x)) (/ (- 1 (cos x)) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (* (* x x) (* x x)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x)) (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (* (cos (* 2 x)) 1/2) (* -1/24 x) (* 1/720 x) (* (* x x) (cos x)) (+ (cos x) 1) (cos (* 2 x))) |
| 3.0ms | x | @ | 0 | ((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) (/ (tan (/ x 2)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (+ (* (* (* x x) (* 1/720 x)) x) (+ (* (* -1/24 x) x) 1/2)) (* (* x x) (* 1/720 x)) (/ (- 1 (cos x)) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (* (* x x) (* x x)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x)) (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (* (cos (* 2 x)) 1/2) (* -1/24 x) (* 1/720 x) (* (* x x) (cos x)) (+ (cos x) 1) (cos (* 2 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 672 |
| 1 | 517 | 665 |
| 2 | 1631 | 653 |
| 3 | 5885 | 651 |
| 0 | 8289 | 594 |
| 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 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/720 (pow x 3)) |
(pow x 4) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(+ 1/2 (* -1 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
(* -1/24 x) |
(* 1/720 x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) x) |
(sin x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (cos x))) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(* (pow x 2) (+ 1 (cos x))) |
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))) |
(* 1/2 (cos (* 2 x))) |
(* (pow x 2) (cos x)) |
(+ 1 (cos x)) |
(cos (* 2 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (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 |
#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) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) |
(* 1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 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))) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (fma.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) x) x) |
(+ 1/2 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 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) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1/2 (* 1/2 (cos (* 2 x)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1 (cos x))) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(* 1/2 (cos (* 2 x))) |
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(+ 1 (cos x)) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos (* 2 x)) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 221 |
| 0 | 71 | 200 |
| 1 | 287 | 177 |
| 0 | 2240 | 170 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)) (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))) (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (fma.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))) (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))) |
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(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(+.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (cos.f64 x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) |
(*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
Compiled 15 459 to 1 901 computations (87.7% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 7 | 647 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 646 | 19 | 665 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ▶ | 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
| 14.3% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| 14.3% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 14.2% | (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 50.3% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
| 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 52.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
| ✓ | 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 49.6% | #s(approx (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))) | |
| 78.5% | #s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
Compiled 642 to 417 computations (35% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) | |
| cost-diff | 3 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| cost-diff | 4 | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) | |
| 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 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) | |
| cost-diff | 2 | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 203 |
| 0 | 62 | 199 |
| 1 | 136 | 191 |
| 2 | 476 | 181 |
| 3 | 2892 | 181 |
| 0 | 8314 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
#s(literal 1/720 binary64) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 (cos.f64 x) x) | |
| accuracy | 0.13738251953688402 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 15.409011663350999 | (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) | |
| accuracy | 43.682965972444194 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| accuracy | 13.03760339605658 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 17.66529289051733 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.16796875 | (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -1/24 binary64) x) | |
| accuracy | 11.205410009768444 | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) | |
| accuracy | 30.187125136839043 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 13.614986408004977 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 17.66529289051733 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.017093561143618 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.08203125 | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) | |
| accuracy | 0.12109375 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
| 98.0ms | 125× | 0 | valid |
| 74.0ms | 59× | 2 | valid |
| 47.0ms | 47× | 1 | valid |
| 31.0ms | 25× | 3 | valid |
Compiled 186 to 33 computations (82.3% saved)
ival-cos: 65.0ms (31.5% of total)ival-mult: 52.0ms (25.2% of total)adjust: 32.0ms (15.5% of total)ival-div: 19.0ms (9.2% of total)const: 17.0ms (8.2% of total)ival-tan: 6.0ms (2.9% of total)ival-sub: 5.0ms (2.4% of total)ival-sin: 5.0ms (2.4% of total)ival-add: 3.0ms (1.5% of total)ival-neg: 2.0ms (1% 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 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(neg.f64 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 (cos.f64 x) x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1/2 x) |
(* x (- (* 1/24 (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)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(pow x 4) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 x) |
(* -1/24 x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(/ (- 1 (cos x)) x) |
(* (pow x 2) (- 1 (cos x))) |
(* x (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((/ (* (/ (tan (/ x 2)) x) (neg (sin x))) (neg x)) (* (/ (tan (/ x 2)) x) (neg (sin x))) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (+ (* (* x x) (* 1/720 (* x x))) (+ (* (* -1/24 x) x) 1/2)) (/ (- 1 (cos x)) (* x x)) (* 1/720 (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* (* x x) (* x x))) (- (* x x) (* (* (cos x) x) x)) (neg x) (* -1/24 x) (* (cos x) x)) |
| 4.0ms | x | @ | inf | ((/ (* (/ (tan (/ x 2)) x) (neg (sin x))) (neg x)) (* (/ (tan (/ x 2)) x) (neg (sin x))) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (+ (* (* x x) (* 1/720 (* x x))) (+ (* (* -1/24 x) x) 1/2)) (/ (- 1 (cos x)) (* x x)) (* 1/720 (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* (* x x) (* x x))) (- (* x x) (* (* (cos x) x) x)) (neg x) (* -1/24 x) (* (cos x) x)) |
| 2.0ms | x | @ | 0 | ((/ (* (/ (tan (/ x 2)) x) (neg (sin x))) (neg x)) (* (/ (tan (/ x 2)) x) (neg (sin x))) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (+ (* (* x x) (* 1/720 (* x x))) (+ (* (* -1/24 x) x) 1/2)) (/ (- 1 (cos x)) (* x x)) (* 1/720 (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* (* x x) (* x x))) (- (* x x) (* (* (cos x) x) x)) (neg x) (* -1/24 x) (* (cos x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 550 |
| 1 | 359 | 550 |
| 2 | 1054 | 544 |
| 3 | 4224 | 543 |
| 0 | 8311 | 489 |
| 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 (- (* 1/24 (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)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(* 1/720 (pow x 2)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(pow x 4) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 x) |
(* -1/24 x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(/ (- 1 (cos x)) x) |
(* (pow x 2) (- 1 (cos x))) |
(* 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 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)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #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) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (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 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.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 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.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) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (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))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 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))) |
(* -1 x) |
(neg.f64 x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 164 |
| 0 | 62 | 156 |
| 1 | 219 | 144 |
| 0 | 1616 | 142 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(neg.f64 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))))) |
(/.f64 (sin.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (neg.f64 x)) (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))) |
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (cos.f64 x) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(fma.f64 x (*.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(fma.f64 x x (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (neg.f64 x))) x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) |
(neg.f64 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 x #s(literal -1/24 binary64)) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
Compiled 8 706 to 1 232 computations (85.8% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 7 | 411 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 409 | 21 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 14.7% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 49.5% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) | |
| ✓ | 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 49.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 24.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 49.5% | (/.f64 (*.f64 (/.f64 x x) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (*.f64 x x)) | |
| 14.3% | (/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64))) | |
| 14.2% | (/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 14.3% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 99.8% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) | |
| 50.3% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 49.4% | (*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) | |
| 52.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 52.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
| ✓ | 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 78.5% | #s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
Compiled 1 071 to 420 computations (60.8% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 x x) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
#s(approx (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
2 calls:
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 x x) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
#s(approx (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 x x) (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
#s(approx (/ (- 1/2 (* (cos (* 2 x)) 1/2)) (* (+ (cos x) 1) (* x x))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 58.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
2 calls:
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 75.1% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 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) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.9b remaining (-3%)
Threshold costs -0.9b (-3%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 53.1% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.01872453553056644 | 3.9483369275621807 |
| 5.0ms | 112× | 0 | valid |
Compiled 340 to 241 computations (29.1% saved)
ival-sub: 1.0ms (31.6% of total)ival-div: 1.0ms (31.6% of total)ival-cos: 1.0ms (31.6% of total)ival-mult: 1.0ms (31.6% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.01872453553056644 | 3.9483369275621807 |
Compiled 340 to 241 computations (29.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.2944295632491687e+29 | 4.9993215966350693e+39 |
| 12.0ms | 160× | 0 | valid |
Compiled 311 to 240 computations (22.8% saved)
ival-cos: 5.0ms (59.7% of total)ival-sub: 1.0ms (11.9% of total)ival-div: 1.0ms (11.9% of total)ival-mult: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)adjust: 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 |
|---|---|---|
| 10.0ms | 0.01872453553056644 | 3.9483369275621807 |
| 6.0ms | 96× | 0 | valid |
Compiled 186 to 150 computations (19.4% saved)
ival-cos: 3.0ms (66.1% of total)ival-mult: 1.0ms (22% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 197 |
| 1 | 85 | 197 |
| 2 | 159 | 197 |
| 3 | 317 | 197 |
| 4 | 666 | 197 |
| 5 | 3080 | 197 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 539999999999999991621466232958299930624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (pow x 4) -1/40320) (- (* 1/720 (* x x)) 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))) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 539999999999999991621466232958299930624 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 221 |
| 0 | 71 | 200 |
| 1 | 287 | 177 |
| 0 | 2240 | 170 |
| 0 | 32 | 177 |
| 0 | 53 | 173 |
| 1 | 228 | 158 |
| 0 | 1720 | 158 |
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 337 | 153 |
| 3 | 1197 | 153 |
| 4 | 2984 | 153 |
| 5 | 7895 | 153 |
| 0 | 8004 | 137 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 0 | 348 | 17 |
| 0 | 122 | 502 |
| 1 | 354 | 502 |
| 2 | 1082 | 486 |
| 3 | 3242 | 486 |
| 0 | 8100 | 450 |
| 0 | 36 | 164 |
| 0 | 62 | 156 |
| 1 | 219 | 144 |
| 0 | 1616 | 142 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 197 to 60 computations (69.5% saved)
(abs x)
Compiled 432 to 148 computations (65.7% saved)
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