
Time bar (total: 7.0s)
| 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)
| 787.0ms | 2 229× | 2 | valid |
| 391.0ms | 4 158× | 0 | valid |
| 261.0ms | 619× | 3 | valid |
| 165.0ms | 1 250× | 1 | valid |
ival-cos: 795.0ms (60.6% of total)adjust: 176.0ms (13.4% of total)ival-div: 135.0ms (10.3% of total)ival-mult: 103.0ms (7.9% of total)ival-sub: 88.0ms (6.7% 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 |
|---|---|---|---|---|---|
| 84 | 0 | - | 1 | (1.0075940476287405e+305) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 59 | 0 | - | 1 | (1.7510065164544445e-156) | (/.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 | 83 | 4 |
/.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 | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 141 | 0 |
| - | 0 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 141 | 0 | 0 |
| - | 0 | 4 | 111 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 134× | 2 | valid |
| 21.0ms | 256× | 0 | valid |
| 19.0ms | 40× | 3 | valid |
| 9.0ms | 82× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 48.0ms (65.9% of total)adjust: 9.0ms (12.4% of total)ival-div: 6.0ms (8.2% of total)ival-sub: 5.0ms (6.9% of total)ival-mult: 4.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 35 | 17 |
| 2 | 100 | 17 |
| 3 | 157 | 17 |
| 4 | 228 | 17 |
| 5 | 307 | 17 |
| 6 | 541 | 17 |
| 7 | 1187 | 17 |
| 8 | 2538 | 17 |
| 9 | 5009 | 17 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 27 | 8 |
| 2 | 62 | 8 |
| 3 | 108 | 8 |
| 4 | 154 | 8 |
| 5 | 208 | 8 |
| 6 | 294 | 8 |
| 7 | 528 | 8 |
| 8 | 1173 | 8 |
| 9 | 2520 | 8 |
| 10 | 4972 | 8 |
| 0 | 8040 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 27 | 19 |
| 2 | 62 | 19 |
| 3 | 108 | 19 |
| 4 | 154 | 19 |
| 5 | 208 | 19 |
| 6 | 294 | 19 |
| 7 | 528 | 19 |
| 8 | 1173 | 19 |
| 9 | 2520 | 19 |
| 10 | 4972 | 19 |
| 0 | 8040 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 13.735702196201883 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 17.760436162203955 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 23.0ms | 67× | 2 | valid |
| 10.0ms | 128× | 0 | valid |
| 10.0ms | 20× | 3 | valid |
| 5.0ms | 41× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 26.0ms (67.9% of total)adjust: 4.0ms (10.4% of total)ival-div: 3.0ms (7.8% of total)ival-sub: 3.0ms (7.8% of total)ival-mult: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 45 | 17 |
| 2 | 321 | 17 |
| 0 | 3333 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x)) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 901 to 540 computations (81.4% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 24 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 25 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| 77.7% | (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) | |
| 77.7% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 25.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 49.7% | (/.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 (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)) | |
| 18.2% | (/.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))) | |
| 49.6% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) | |
| 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| 18.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64))) | |
| 14.2% | (/.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))) | |
| 18.8% | (/.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)) | |
| ✓ | 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
| 48.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) | |
| 2.8% | (/.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)) | |
| 26.4% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 77.7% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) | |
| ▶ | 77.8% | (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
| 50.4% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) | |
| 49.6% | (-.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))) | |
| ▶ | 78.3% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
| ▶ | 51.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| 51.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 806 to 498 computations (38.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 3 | (/.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))) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| 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)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| cost-diff | 1 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| cost-diff | 2 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 218 |
| 0 | 61 | 215 |
| 1 | 116 | 215 |
| 2 | 310 | 208 |
| 3 | 1157 | 208 |
| 4 | 3877 | 207 |
| 5 | 6699 | 207 |
| 0 | 8760 | 205 |
| 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 (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))) |
(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)) |
(*.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 |
(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))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/40320 binary64) |
(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 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.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))) |
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.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 1/2 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 1/2 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 (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))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64))) |
(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)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) |
(*.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)))) |
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) |
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))) |
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/40320 binary64) |
(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 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 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) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10384750976844201 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.248378759768442 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.2966651564476176 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.692735387144731 | (/.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))) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 13.735702196201883 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 15.382667355994364 | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 17.760436162203955 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.18359375 | (*.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)))) | |
| accuracy | 0.1953125 | (*.f64 #s(literal 1/720 binary64) x) | |
| accuracy | 15.995387493298885 | (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))) | |
| accuracy | 30.814292007130796 | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) | |
| accuracy | 30.474439605452524 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 0.18359375 | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) | |
| accuracy | 0.2966651564476176 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.248476226564474 | (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
| 130.0ms | 68× | 2 | valid |
| 66.0ms | 128× | 0 | valid |
| 59.0ms | 18× | 3 | valid |
| 59.0ms | 42× | 1 | valid |
Compiled 209 to 37 computations (82.3% saved)
ival-mult: 76.0ms (39.8% of total)const: 36.0ms (18.8% of total)ival-cos: 20.0ms (10.5% of total)adjust: 19.0ms (9.9% of total)ival-div: 11.0ms (5.8% of total)ival-add: 8.0ms (4.2% of total)ival-sin: 7.0ms (3.7% of total)ival-pow2: 4.0ms (2.1% of total)ival-pow: 3.0ms (1.6% of total)ival-sub: 2.0ms (1% of total)ival-sqrt: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (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 (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))) |
(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)) |
(*.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)))) |
(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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) 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)))) |
(* -1/24 x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
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) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1)) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
2 |
(+ 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) |
(/ (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)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 5)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(- 1 (cos x)) |
(cos x) |
(* -1 (* (pow x 2) (+ 1 (cos x)))) |
(* -1 (pow (sin x) 2)) |
(pow (sin x) 2) |
(+ 1 (cos x)) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | 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 (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 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 (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x)) |
| 4.0ms | 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 (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 754 |
| 1 | 509 | 754 |
| 2 | 1504 | 737 |
| 3 | 4179 | 736 |
| 0 | 8141 | 694 |
| 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)))) |
(* -1/24 x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
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) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1)) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
2 |
(+ 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) |
(/ (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)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 5)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(- 1 (cos x)) |
(cos x) |
(* -1 (* (pow x 2) (+ 1 (cos x)))) |
(* -1 (pow (sin x) 2)) |
(pow (sin x) 2) |
(+ 1 (cos x)) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/24 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) x) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 2)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/3 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/315 binary64) (*.f64 x x)) #s(literal 2/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/720 x) |
(*.f64 #s(literal 1/720 binary64) x) |
(/ (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) |
(* -1/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/40320 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1/40320 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* -1 (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x)) |
(* -1 (pow (sin x) 2)) |
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 167 |
| 0 | 61 | 167 |
| 1 | 197 | 152 |
| 2 | 1293 | 149 |
| 0 | 8122 | 149 |
| 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 (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))) |
(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)) |
(*.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)))) |
(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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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)))) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (cos.f64 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 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (cos.f64 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))) |
(*.f64 (/.f64 x (/.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 x (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x)) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.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 x #s(literal 1 binary64) (*.f64 x (cos.f64 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 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x))) |
(+.f64 (*.f64 x (cos.f64 x)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 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)) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
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(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.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) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 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))) (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)) (*.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 (/.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)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (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 (+.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 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 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)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x #s(literal 1/720 binary64)) |
Compiled 21 473 to 2 853 computations (86.7% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 9 | 723 |
| Fresh | 11 | 8 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 728 | 20 | 748 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 18.2% | (/.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))) | |
| ▶ | 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
| ▶ | 14.2% | (/.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))) |
| 18.8% | (/.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)) | |
| ✓ | 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 38.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
| 26.4% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 77.8% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| 50.5% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 49.5% | (-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) | |
| 78.4% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| 99.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) | |
| ▶ | 53.1% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 51.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) | |
| ▶ | 51.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| ▶ | 99.7% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
Compiled 619 to 394 computations (36.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 1 | (*.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 4 | (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 290 |
| 0 | 78 | 294 |
| 1 | 158 | 268 |
| 2 | 525 | 253 |
| 3 | 2577 | 249 |
| 4 | 6309 | 249 |
| 0 | 8324 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) |
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) |
x |
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
x |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(-.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) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) |
(*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x) |
x |
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(cos.f64 x) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.12337875976844202 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| accuracy | 13.598259398345537 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| accuracy | 44.63638594403252 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.12337875976844202 | (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) | |
| accuracy | 0.15853500976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 14.715401486610073 | (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| accuracy | 44.63638594403252 | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.18359375 | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 29.95343263364684 | #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) | |
| accuracy | 0.18359375 | (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) | |
| accuracy | 30.61548193718063 | #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) | |
| accuracy | 30.814292007130796 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.06640625 | (/.f64 (/.f64 (sin.f64 x) x) x) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.17578125 | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
| 92.0ms | 67× | 2 | valid |
| 66.0ms | 128× | 0 | valid |
| 45.0ms | 20× | 3 | valid |
| 32.0ms | 41× | 1 | valid |
Compiled 246 to 46 computations (81.3% saved)
adjust: 66.0ms (31.9% of total)ival-mult: 47.0ms (22.7% of total)ival-cos: 23.0ms (11.1% of total)ival-div: 17.0ms (8.2% of total)const: 16.0ms (7.7% of total)ival-pow: 9.0ms (4.4% of total)ival-add: 8.0ms (3.9% of total)ival-sub: 6.0ms (2.9% of total)ival-sin: 6.0ms (2.9% of total)ival-tan: 5.0ms (2.4% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) |
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) |
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* -1/24 x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (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)))) |
(/ 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 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 4)) |
(* -1 (pow x 2)) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(pow x 2) |
(* (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)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(* (pow x 2) (- (* 1/2 (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 (* -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 (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 5)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(sin x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (cos x)) |
(/ (sin x) x) |
(/ (sin x) (pow x 2)) |
(* -1 (* (pow x 2) (cos x))) |
(cos x) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x)) |
| 8.0ms | x | @ | inf | ((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x)) |
| 3.0ms | x | @ | 0 | ((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 844 |
| 1 | 499 | 843 |
| 2 | 1479 | 825 |
| 3 | 4468 | 824 |
| 0 | 8233 | 778 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* -1/24 x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (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)))) |
(/ 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 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 4)) |
(* -1 (pow x 2)) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(pow x 2) |
(* (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)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(* (pow x 2) (- (* 1/2 (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 (* -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 (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 5)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(sin x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (cos x)) |
(/ (sin x) x) |
(/ (sin x) (pow x 2)) |
(* -1 (* (pow x 2) (cos x))) |
(cos x) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 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) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) 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)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #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))) x) |
(/ 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 (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 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 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)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 #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))) (*.f64 x x) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 #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))) (*.f64 x x) #s(literal 1 binary64)) 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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (*.f64 x x)) |
(+ 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 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(/ (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 (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/720 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/40320 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1/40320 (pow x 4)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(sin x) |
(sin.f64 x) |
(/ (sin x) (* (pow x 2) (+ 1 (cos x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(cos x) |
(cos.f64 x) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 263 |
| 0 | 78 | 249 |
| 1 | 277 | 215 |
| 2 | 2000 | 212 |
| 0 | 8881 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)) |
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) |
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.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)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))))) |
(/.f64 (+.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)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))) |
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(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
Compiled 32 109 to 3 098 computations (90.4% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 957 | 13 | 970 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 961 | 29 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 14.7% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 14.3% | (/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 25.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ✓ | 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
| 2.0% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ▶ | 18.8% | (/.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)) |
| ✓ | 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.4% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 14.2% | (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 77.8% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| 14.2% | (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 14.3% | (/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 50.5% | (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 78.4% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
| ✓ | 53.1% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 51.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) | |
| ✓ | 51.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 25.3% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x)))) | |
| 49.2% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 49.5% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 25.3% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)) | |
| 25.3% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))) | |
| 14.2% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 49.5% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| ✓ | 99.7% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
Compiled 1 147 to 678 computations (40.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| cost-diff | 2 | (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| cost-diff | 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)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) x) | |
| cost-diff | 2 | (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 5 | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (neg.f64 (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| cost-diff | 5 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #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 | (sin.f64 x) | |
| cost-diff | 1 | (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 2 | (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| cost-diff | 2 | (*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 256 |
| 0 | 67 | 240 |
| 1 | 159 | 234 |
| 2 | 593 | 197 |
| 3 | 3140 | 191 |
| 4 | 7081 | 191 |
| 0 | 8092 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(sin.f64 x) |
x |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 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 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) x) |
(sin.f64 x) |
x |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(*.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 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal -1 binary64) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (/.f64 (cos.f64 x) x) | |
| accuracy | 12.011142659261338 | (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| accuracy | 23.867087185494544 | (/.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)) | |
| accuracy | 27.585033830897412 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| accuracy | 0.11328125 | (*.f64 (cos.f64 x) x) | |
| accuracy | 0.15853500976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 17.006568896597 | (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) | |
| accuracy | 44.63638594403252 | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.6156510116853875 | (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 0.645395165474731 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 31.319559976286136 | (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 13.735702196201883 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 17.760436162203955 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 28.567948905379044 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 x) (neg.f64 x)) | |
| accuracy | 0.14453125 | (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 0.1796875 | (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| accuracy | 0.2966651564476176 | (+.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 82.0ms | 67× | 2 | valid |
| 81.0ms | 128× | 0 | valid |
| 51.0ms | 20× | 3 | valid |
| 23.0ms | 41× | 1 | valid |
Compiled 240 to 37 computations (84.6% saved)
ival-mult: 50.0ms (26.5% of total)ival-div: 46.0ms (24.3% of total)adjust: 37.0ms (19.6% of total)ival-cos: 33.0ms (17.5% of total)ival-sub: 6.0ms (3.2% of total)ival-add: 6.0ms (3.2% of total)ival-sin: 6.0ms (3.2% of total)ival-neg: 3.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.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 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(cos.f64 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 |
(- (* -1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2) |
(* -2 x) |
(* x (- (* 1/2 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (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 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(* -1 (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)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 3)) |
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))) |
(- (* 1/6 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* -1 (/ (sin x) (* x (+ 1 (cos x))))) |
(* -1 (* x (+ 1 (cos x)))) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* x (cos x)) |
(* -1 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(+ 1 (cos x)) |
(* -1 (/ (sin x) x)) |
(/ (cos x) x) |
(* -1 (* x (- 1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x)) |
| 5.0ms | x | @ | inf | ((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x)) |
| 5.0ms | x | @ | -inf | ((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 827 |
| 1 | 436 | 813 |
| 2 | 1202 | 794 |
| 3 | 5052 | 793 |
| 0 | 8226 | 751 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
-1/2 |
(- (* -1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2) |
(* -2 x) |
(* x (- (* 1/2 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (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 (pow x 2)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
-1 |
(- (* 1/2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(* -1 (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)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 (pow x 3)) |
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))) |
(- (* 1/6 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(* -1 (/ (sin x) (* x (+ 1 (cos x))))) |
(* -1 (* x (+ 1 (cos x)))) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (/ (cos x) (pow x 2))) |
(* -1 (cos x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(* x (cos x)) |
(* -1 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(+ 1 (cos x)) |
(* -1 (/ (sin x) x)) |
(/ (cos x) x) |
(* -1 (* x (- 1 (cos x)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/24 (pow x 2)) 1/2) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 1/2 (pow x 2)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow x 2)) 1) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(- (* 1/6 (pow x 2)) 1) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(* -1 (/ (sin x) (* x (+ 1 (cos x))))) |
(/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) x) |
(* -1 (* x (+ 1 (cos x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (cos.f64 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 (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 (/ (cos x) (pow x 2))) |
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) |
(* -1 (cos x)) |
(neg.f64 (cos.f64 x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (- (cos x) 1)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* -1 (/ (sin x) x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 218 |
| 0 | 67 | 187 |
| 1 | 264 | 164 |
| 2 | 2079 | 148 |
| 0 | 10656 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.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 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(cos.f64 x) |
(/.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) x) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (+.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (cos.f64 x) x x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x)) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.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 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 x (+.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 (*.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 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (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 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 (*.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))) |
(neg.f64 (fma.f64 (cos.f64 x) x x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (*.f64 (cos.f64 x) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) x)) |
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) x x) |
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x) x) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (cos.f64 x) x)) |
(fma.f64 (cos.f64 x) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x)) |
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 x) x)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (cos.f64 x)) x) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(fma.f64 x (cos.f64 x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) |
(-.f64 (*.f64 (cos.f64 x) x) x) |
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 (cos.f64 x) x) x) |
(+.f64 x (*.f64 (cos.f64 x) x)) |
(neg.f64 (sin.f64 x)) |
(fma.f64 #s(literal 0 binary64) (cos.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) x)) |
(sin.f64 x) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 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)) (*.f64 x x)) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(/.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 x x) (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.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))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) |
(/.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)))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) x) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)) |
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(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(/.f64 (cos.f64 x) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
Compiled 20 500 to 2 577 computations (87.4% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 751 | 9 | 760 |
| Fresh | 6 | 12 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 759 | 30 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 14.7% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 99.6% | (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| 25.4% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 14.2% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 14.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
| 2.0% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 3.1% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 2.8% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 42.3% | (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.4% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 77.8% | (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) | |
| 14.3% | (/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 42.3% | (/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 78.4% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ✓ | 53.1% | (*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
| 53.2% | (*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) | |
| 51.5% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) | |
| ✓ | 51.6% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 52.4% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| 25.3% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x)))) | |
| 49.2% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 49.5% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) | |
| 14.2% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ✓ | 49.5% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| 49.6% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))) | |
| 49.6% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| ✓ | 99.7% | #s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
Compiled 1 818 to 674 computations (62.9% 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.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) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.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))) |
(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.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)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.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) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x)))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 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 (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 x x)) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
2 calls:
| 14.0ms | x |
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.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) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.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))) |
(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.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)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.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) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x)) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x)))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.5% | 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.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) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 98.7% | 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) |
(/.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) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 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)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 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 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #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 |
|---|---|---|
| 52.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 52.4% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.020684802134636856 | 4599.360785786617 |
| 7.0ms | 128× | 0 | valid |
Compiled 307 to 218 computations (29% saved)
ival-cos: 2.0ms (47.7% of total)ival-sub: 1.0ms (23.8% of total)ival-div: 1.0ms (23.8% of total)ival-mult: 1.0ms (23.8% 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 |
|---|---|---|
| 3.0ms | 0.020684802134636856 | 4599.360785786617 |
| 1.0ms | 16× | 0 | valid |
Compiled 344 to 244 computations (29.1% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.744282605241779e+35 | 1.134123358325496e+40 |
| 11.0ms | 128× | 0 | valid |
Compiled 251 to 194 computations (22.7% saved)
ival-cos: 5.0ms (57.8% of total)ival-mult: 2.0ms (23.1% of total)ival-sub: 1.0ms (11.6% of total)ival-div: 1.0ms (11.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.020684802134636856 | 4599.360785786617 |
| 8.0ms | 112× | 0 | valid |
Compiled 236 to 190 computations (19.5% saved)
ival-cos: 4.0ms (69.7% of total)ival-sub: 1.0ms (17.4% of total)ival-div: 1.0ms (17.4% of total)ival-mult: 1.0ms (17.4% 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× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 181 |
| 1 | 87 | 181 |
| 2 | 165 | 178 |
| 3 | 403 | 178 |
| 4 | 1162 | 178 |
| 5 | 2833 | 178 |
| 6 | 4268 | 178 |
| 7 | 7604 | 178 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 600000000000000024271790803693365886976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) |
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 600000000000000024271790803693365886976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 123 | 153 |
| 2 | 327 | 153 |
| 3 | 1154 | 153 |
| 4 | 2765 | 153 |
| 5 | 5117 | 153 |
| 0 | 8046 | 135 |
| 0 | 36 | 167 |
| 0 | 61 | 167 |
| 1 | 197 | 152 |
| 2 | 1293 | 149 |
| 0 | 8122 | 149 |
| 0 | 177 | 754 |
| 1 | 509 | 754 |
| 2 | 1504 | 737 |
| 3 | 4179 | 736 |
| 0 | 8141 | 694 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 181 to 58 computations (68% saved)
(abs x)
Compiled 430 to 162 computations (62.3% saved)
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