
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)
| 664.0ms | 2 200× | 2 | valid |
| 378.0ms | 4 150× | 0 | valid |
| 337.0ms | 634× | 3 | valid |
| 151.0ms | 1 272× | 1 | valid |
ival-cos: 779.0ms (59.9% of total)adjust: 157.0ms (12.1% of total)ival-div: 152.0ms (11.7% of total)ival-sub: 134.0ms (10.3% of total)ival-mult: 63.0ms (4.8% of total)ival-true: 6.0ms (0.5% of total)exact: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 80 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 62 | 1 | (3.9785405264178036e+161) | 5 | (-1.0877340580142174e-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 | 80 | 3 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 54 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 54 | |
| ↳ | (*.f64 x x) | underflow | 54 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 0 |
| - | 5 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 0 |
| - | 5 | 3 | 116 |
| number | freq |
|---|---|
| 0 | 119 |
| 1 | 136 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 256× | 0 | valid |
| 46.0ms | 132× | 2 | valid |
| 18.0ms | 38× | 3 | valid |
| 10.0ms | 86× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 52.0ms (60.5% of total)ival-mult: 14.0ms (16.3% of total)adjust: 9.0ms (10.5% of total)ival-div: 6.0ms (7% of total)ival-sub: 5.0ms (5.8% 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 | 100 | 17 |
| 3 | 157 | 17 |
| 4 | 228 | 17 |
| 5 | 307 | 17 |
| 6 | 541 | 17 |
| 7 | 1187 | 17 |
| 8 | 2538 | 17 |
| 9 | 5009 | 17 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 27 | 8 |
| 2 | 62 | 8 |
| 3 | 108 | 8 |
| 4 | 154 | 8 |
| 5 | 208 | 8 |
| 6 | 294 | 8 |
| 7 | 528 | 8 |
| 8 | 1173 | 8 |
| 9 | 2520 | 8 |
| 10 | 4972 | 8 |
| 0 | 8040 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.3% | (/.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 | 62 | 19 |
| 3 | 108 | 19 |
| 4 | 154 | 19 |
| 5 | 208 | 19 |
| 6 | 294 | 19 |
| 7 | 528 | 19 |
| 8 | 1173 | 19 |
| 9 | 2520 | 19 |
| 10 | 4972 | 19 |
| 0 | 8040 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 13.99266291918926 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 16.85149264588834 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 21.0ms | 66× | 2 | valid |
| 14.0ms | 128× | 0 | valid |
| 9.0ms | 19× | 3 | valid |
| 5.0ms | 43× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 22.0ms (65.3% of total)adjust: 4.0ms (11.9% of total)ival-div: 3.0ms (8.9% of total)ival-sub: 3.0ms (8.9% of total)ival-mult: 2.0ms (5.9% 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 | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x)) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 901 to 540 computations (81.4% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 13 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 14 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| 77.6% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| ▶ | 27.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 18.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) | |
| 18.3% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 50.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 2.3% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) | |
| 25.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 77.2% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) | |
| ▶ | 51.5% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
| ▶ | 77.8% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
| ▶ | 51.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| 50.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 52.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 394 to 252 computations (36% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 2 | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| cost-diff | 8 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| cost-diff | 2 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 184 |
| 0 | 50 | 184 |
| 1 | 109 | 165 |
| 2 | 423 | 154 |
| 3 | 2466 | 154 |
| 0 | 8397 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 (fma.f64 (cos.f64 x) x x) x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 (cos.f64 x) x x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
#s(literal 1/720 binary64) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(cos.f64 x) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) |
(cos.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.06640625 | (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 30.594200447634552 | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| accuracy | 13.99266291918926 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 15.87426049469477 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| accuracy | 35.643498716034586 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) | |
| accuracy | 0.05859375 | (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 | 0.05859375 | (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) | |
| accuracy | 0.2421875 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 31.137105576520007 | #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 | 30.681078010382233 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 0.1484375 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| accuracy | 0.3685779629864003 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.478837339207999 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
| 64.0ms | 128× | 0 | valid |
| 56.0ms | 66× | 2 | valid |
| 33.0ms | 18× | 3 | valid |
| 21.0ms | 44× | 1 | valid |
Compiled 175 to 30 computations (82.9% saved)
ival-cos: 53.0ms (35.3% of total)ival-mult: 25.0ms (16.7% of total)adjust: 20.0ms (13.3% of total)ival-sub: 16.0ms (10.7% of total)ival-div: 10.0ms (6.7% of total)const: 8.0ms (5.3% of total)ival-add: 6.0ms (4% of total)ival-sin: 6.0ms (4% of total)ival-pow: 5.0ms (3.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
| Outputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (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 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* (pow x 2) (+ 1 (* -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)))) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(* x (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- 1 (cos x)) |
(* (pow x 2) (- 1 (cos x))) |
(/ (cos x) (pow x 2)) |
(cos x) |
(+ 1 (cos x)) |
(* (pow x 2) (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* x x) (cos x))) |
| 5.0ms | x | @ | inf | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* x x) (cos x))) |
| 3.0ms | x | @ | 0 | ((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (- (pow x -2) (* (cos x) (pow x -2))) (pow x -2) (* (cos x) (pow x -2)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (* x x) (cos x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 614 |
| 1 | 387 | 614 |
| 2 | 1149 | 589 |
| 3 | 4487 | 589 |
| 0 | 8193 | 547 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(* 2 x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (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 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/720 x) |
(* (pow x 2) (+ 1 (* -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)))) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(* x (+ 1 (cos x))) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(- 1 (cos x)) |
(* (pow x 2) (- 1 (cos x))) |
(/ (cos x) (pow x 2)) |
(cos x) |
(+ 1 (cos x)) |
(* (pow x 2) (cos x)) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.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) |
(pow x 2) |
(*.f64 x x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 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 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 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)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(* x (+ 1 (cos x))) |
(fma.f64 (cos.f64 x) x x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(sin x) |
(sin.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.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 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(cos x) |
(cos.f64 x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 159 |
| 0 | 50 | 155 |
| 1 | 199 | 130 |
| 2 | 1520 | 127 |
| 0 | 8284 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x)) |
(fma.f64 (cos.f64 x) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (cos.f64 x) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) |
(fma.f64 x (cos.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (cos.f64 x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (cos.f64 x) x) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) x) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
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(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64)) |
(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)) |
(fma.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
Compiled 16 105 to 2 492 computations (84.5% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 15 | 711 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 703 | 22 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| 77.6% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| ▶ | 27.1% | (/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 27.1% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) x) x) (*.f64 x x)) | |
| ✓ | 27.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 27.0% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| 27.0% | (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 x x)) (*.f64 x x)) | |
| 18.3% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 50.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 25.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 27.1% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))) (*.f64 x x)) | |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| 77.4% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| ▶ | 13.7% | (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| ▶ | 29.2% | (/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
| 50.6% | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| 77.7% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| 52.6% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| 51.3% | #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))) | |
| 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ▶ | 50.9% | #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))) |
| ✓ | 52.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 696 to 429 computations (38.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 2 | (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) | |
| cost-diff | 8 | (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) | |
| cost-diff | 1 | (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 5 | (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (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) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 342 |
| 0 | 79 | 340 |
| 1 | 173 | 302 |
| 2 | 605 | 285 |
| 3 | 3509 | 285 |
| 0 | 8276 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (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) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(-.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) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
x |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(neg.f64 x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) 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) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) 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) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (-.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 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(-.f64 (*.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) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
x |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(neg.f64 x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (cos.f64 x) x) | |
| accuracy | 13.99266291918926 | (/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 23.589240423261263 | (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) | |
| accuracy | 35.643498716034586 | (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0.11328125 | (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) | |
| accuracy | 0.135097509768442 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 11.054964786468318 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| accuracy | 44.98965362556418 | (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.05859375 | (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.370462537908144 | (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) | |
| accuracy | 13.99266291918926 | (/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) | |
| accuracy | 30.773420445600273 | #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 31.137105576520007 | #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 | 31.666481965166426 | #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) | |
| accuracy | 0.00390625 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.05859375 | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) | |
| accuracy | 0.125 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) | |
| accuracy | 0.15853500976844204 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
| 95.0ms | 66× | 2 | valid |
| 53.0ms | 128× | 0 | valid |
| 33.0ms | 44× | 1 | valid |
| 26.0ms | 18× | 3 | valid |
Compiled 298 to 46 computations (84.6% saved)
ival-mult: 35.0ms (20.5% of total)const: 32.0ms (18.8% of total)adjust: 25.0ms (14.7% of total)ival-div: 22.0ms (12.9% of total)ival-cos: 22.0ms (12.9% of total)ival-sub: 9.0ms (5.3% of total)ival-add: 8.0ms (4.7% of total)ival-sin: 8.0ms (4.7% of total)ival-tan: 6.0ms (3.5% of total)ival-neg: 3.0ms (1.8% 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) (sin.f64 x)) x) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(-.f64 x (*.f64 (cos.f64 x) 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 (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(+ 1/2 (* 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))))))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 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 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* 1/720 (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
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)))) |
(/ (* (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)) |
(* 1/720 (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 (cos x)) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* (pow x 2) (- 1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (cos x))) |
(* x (- 1 (cos x))) |
(* x (cos x)) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* x (+ 1 (* -1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | ((/ (* (/ (tan (/ x 2)) x) (sin x)) x) (* (/ (tan (/ x 2)) x) (sin x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ (neg (* x (- x (* (cos x) x)))) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (neg (* x (- x (* (cos x) x)))) (* x (- x (* (cos x) x))) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (* (neg x) (* (cos x) x)) (* 1/720 (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- x (* (cos x) x)) (* (cos x) x)) |
| 10.0ms | x | @ | 0 | ((/ (* (/ (tan (/ x 2)) x) (sin x)) x) (* (/ (tan (/ x 2)) x) (sin x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ (neg (* x (- x (* (cos x) x)))) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (neg (* x (- x (* (cos x) x)))) (* x (- x (* (cos x) x))) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (* (neg x) (* (cos x) x)) (* 1/720 (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- x (* (cos x) x)) (* (cos x) x)) |
| 6.0ms | x | @ | -inf | ((/ (* (/ (tan (/ x 2)) x) (sin x)) x) (* (/ (tan (/ x 2)) x) (sin x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ (neg (* x (- x (* (cos x) x)))) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (neg (* x (- x (* (cos x) x)))) (* x (- x (* (cos x) x))) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (* (neg x) (* (cos x) x)) (* 1/720 (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- x (* (cos x) x)) (* (cos x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 795 |
| 1 | 468 | 789 |
| 2 | 1364 | 789 |
| 3 | 3491 | 789 |
| 0 | 8179 | 749 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(+ 1/2 (* 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))))))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(* 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 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* 1/720 (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
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)))) |
(/ (* (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)) |
(* 1/720 (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 (cos x)) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* (pow x 2) (- 1 (cos x))) |
(+ 1 (* -1 (cos x))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (cos x))) |
(* x (- 1 (cos x))) |
(* x (cos x)) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* x (+ 1 (* -1 (cos x)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #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 (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 #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)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1/2 (pow x 4)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.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))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #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))) |
(* 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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #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))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) 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) |
(* 1/720 (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))) |
(* (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 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.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)))) |
(* 1/720 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (cos x) 1)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x) |
(* x (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 294 |
| 0 | 79 | 277 |
| 1 | 299 | 231 |
| 2 | 2016 | 230 |
| 0 | 9074 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 x) x x) x)) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (/.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) x x) x) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x)) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (cos.f64 x) x x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 x (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) x) x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) x) (*.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 4 binary64)))) |
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(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (*.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x)) |
(neg.f64 (fma.f64 (cos.f64 x) x x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) x)) |
(fma.f64 (neg.f64 (cos.f64 x)) x x) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(fma.f64 (cos.f64 x) x x) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(fma.f64 x (cos.f64 x) (neg.f64 x)) |
(fma.f64 x (cos.f64 x) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) x)) |
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) x)) (fma.f64 (cos.f64 x) x x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x) |
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x)))) |
(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(+.f64 (*.f64 (cos.f64 x) x) x) |
(+.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) |
(+.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
Compiled 25 148 to 3 046 computations (87.9% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 855 | 9 | 864 |
| Fresh | 4 | 10 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 862 | 24 | 886 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) | |
| 50.4% | (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) | |
| 50.3% | (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) | |
| 77.6% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) | |
| 2.6% | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) | |
| ▶ | 2.8% | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 50.2% | (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)) x) | |
| ✓ | 27.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 27.0% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 27.0% | (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 50.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 25.5% | (/.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) (sin.f64 x)) x) |
| 77.4% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| 13.8% | (/.f64 (neg.f64 (*.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 51.3% | (/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) | |
| ▶ | 50.6% | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
| ▶ | 77.7% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| 52.6% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| 51.3% | #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))) | |
| 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ✓ | 50.9% | #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))) |
| ✓ | 52.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 734 to 454 computations (38.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 8 | (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| cost-diff | 1 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) | |
| cost-diff | 1 | (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 3 | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) | |
| cost-diff | 3 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 226 |
| 0 | 53 | 221 |
| 1 | 116 | 217 |
| 2 | 396 | 210 |
| 3 | 1699 | 200 |
| 4 | 7928 | 200 |
| 0 | 8019 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(sin.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) |
x |
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(sin.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) |
(-.f64 (/.f64 #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) (*.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) |
x |
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x x) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) | |
| accuracy | 11.054964786468318 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| accuracy | 13.99266291918926 | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 35.643498716034586 | (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.5915275123513333 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.5968987491439365 | (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) | |
| accuracy | 30.594200447634552 | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| accuracy | 13.99266291918926 | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 21.7526697235018 | #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 23.589240423261263 | (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) | |
| accuracy | 35.643498716034586 | (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 13.99266291918926 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 16.85149264588834 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.249896147873812 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| accuracy | 13.751374800971448 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
| 109.0ms | 66× | 2 | valid |
| 40.0ms | 128× | 0 | valid |
| 28.0ms | 18× | 3 | valid |
| 19.0ms | 44× | 1 | valid |
Compiled 205 to 28 computations (86.3% saved)
ival-cos: 28.0ms (23.4% of total)ival-div: 23.0ms (19.2% of total)ival-mult: 22.0ms (18.4% of total)adjust: 21.0ms (17.6% of total)ival-sin: 10.0ms (8.4% of total)ival-sub: 6.0ms (5% of total)ival-tan: 6.0ms (5% of total)ival-add: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) |
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(cos.f64 x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(sin.f64 x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(+ 1 (* -1 (cos x))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (cos x))) |
(* -1 (/ (cos x) (pow x 2))) |
(* (pow x 2) (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(sin x) |
(* x (+ 1 (* -1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (/ 1 (* (neg x) x)) (- (/ (cos x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (cos x) (* (neg x) x)) (cos x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (sin x)) |
| 4.0ms | x | @ | inf | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (/ 1 (* (neg x) x)) (- (/ (cos x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (cos x) (* (neg x) x)) (cos x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (sin x)) |
| 2.0ms | x | @ | 0 | ((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (* x x)) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* x x)) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (/ 1 (* (neg x) x)) (- (/ (cos x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (cos x) (* (neg x) x)) (cos x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 614 |
| 1 | 406 | 606 |
| 2 | 1253 | 594 |
| 3 | 4108 | 594 |
| 0 | 8581 | 554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(/ -1 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(+ 1 (* -1 (cos x))) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (cos x))) |
(* -1 (/ (cos x) (pow x 2))) |
(* (pow x 2) (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(sin x) |
(* x (+ 1 (* -1 (cos x)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -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 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 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 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(* -1 (/ (cos x) (pow x 2))) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(sin x) |
(sin.f64 x) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 191 |
| 0 | 53 | 186 |
| 1 | 201 | 173 |
| 2 | 1467 | 169 |
| 0 | 8231 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) |
(fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) |
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(cos.f64 x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal -2 binary64)))) (*.f64 (neg.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)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x) |
(/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (neg.f64 (neg.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))))) |
(tan.f64 (neg.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) x) (neg.f64 x)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (*.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 x) x x) (fma.f64 (cos.f64 x) x x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 (neg.f64 (cos.f64 x)) x x) |
(fma.f64 (cos.f64 x) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(fma.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (neg.f64 x))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x) |
(+.f64 x (*.f64 (cos.f64 x) (neg.f64 x))) |
(sin.f64 x) |
Compiled 15 914 to 2 026 computations (87.3% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 6 | 715 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 714 | 25 | 739 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) | |
| 77.6% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) | |
| 2.6% | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 2.8% | (/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 50.2% | (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)) x) | |
| 27.2% | (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (neg.f64 x)) x) (neg.f64 x)) (*.f64 x x)) | |
| ✓ | 27.1% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 50.3% | (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) #s(literal 1 binary64)) x) (*.f64 x x)) | |
| ✓ | 27.0% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 3.0% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 50.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 25.5% | (/.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) (sin.f64 x)) x) |
| 2.5% | (/.f64 (neg.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 13.8% | (/.f64 (neg.f64 (*.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 51.3% | (/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) | |
| 50.6% | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| 3.2% | (-.f64 #s(approx (/ (cos x) (* (neg x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| ✓ | 77.7% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
| 52.6% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| 51.3% | #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))) | |
| 51.0% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) | |
| ✓ | 50.9% | #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))) |
| ✓ | 52.1% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 223 to 489 computations (60% 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 (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 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) |
(/.f64 (neg.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(approx (/ (cos x) (* (neg x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (neg.f64 x)) x) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
2 calls:
| 14.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 11.0ms | 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 (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 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) |
(/.f64 (neg.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(approx (/ (cos x) (* (neg x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (neg.f64 x)) x) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 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 (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 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) |
(/.f64 (neg.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(approx (/ (cos x) (* (neg x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 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 (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 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ (tan (/ x 2)) x) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x) |
(/.f64 (neg.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(approx (/ (cos x) (* (neg x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (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:
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 75.0% | 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)) #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 |
|---|---|---|
| 74.9% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.8b remaining (-2.7%)
Threshold costs -0.8b (-2.7%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 52.1% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.398967099438506e-7 | 0.570143947211296 |
| 6.0ms | 112× | 0 | valid |
| 4.0ms | 32× | 1 | valid |
Compiled 218 to 181 computations (17% saved)
ival-cos: 2.0ms (33.8% of total)adjust: 1.0ms (16.9% of total)ival-div: 1.0ms (16.9% of total)ival-mult: 1.0ms (16.9% of total)ival-sub: 1.0ms (16.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.398967099438506e-7 | 0.570143947211296 |
Compiled 218 to 181 computations (17% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.7964689903624123e+34 | 3.4585581178107763e+40 |
| 11.0ms | 144× | 0 | valid |
Compiled 281 to 217 computations (22.8% saved)
ival-cos: 5.0ms (65% of total)ival-sub: 1.0ms (13% of total)ival-div: 1.0ms (13% of total)ival-mult: 1.0ms (13% 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 |
|---|---|---|
| 21.0ms | 9.811702106340004e+74 | 5.023702141581025e+77 |
| 16.0ms | 128× | 0 | valid |
Compiled 171 to 146 computations (14.6% saved)
ival-cos: 11.0ms (82.2% of total)ival-sub: 1.0ms (7.5% of total)ival-div: 1.0ms (7.5% of total)ival-mult: 1.0ms (7.5% 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 | 42 | 133 |
| 1 | 63 | 133 |
| 2 | 104 | 133 |
| 3 | 152 | 133 |
| 4 | 197 | 133 |
| 5 | 253 | 133 |
| 6 | 344 | 133 |
| 7 | 577 | 133 |
| 8 | 1226 | 133 |
| 9 | 2582 | 133 |
| 10 | 5062 | 133 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 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 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 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 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 0 | 30 | 159 |
| 0 | 50 | 155 |
| 1 | 199 | 130 |
| 2 | 1520 | 127 |
| 0 | 8284 | 127 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 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× | node limit |
Compiled 133 to 43 computations (67.7% saved)
(abs x)
Compiled 304 to 114 computations (62.5% saved)
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