
Time bar (total: 8.5s)
| 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)
| 1.0s | 2 196× | 2 | valid |
| 363.0ms | 4 243× | 0 | valid |
| 284.0ms | 581× | 3 | valid |
| 249.0ms | 1 236× | 1 | valid |
ival-cos: 953.0ms (58% of total)ival-div: 245.0ms (14.9% of total)ival-mult: 177.0ms (10.8% of total)ival-sub: 156.0ms (9.5% of total)adjust: 97.0ms (5.9% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 3 | (-1.915690555007037e+76) | 1 | (2.443102964155315e+56) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 68 | 0 | - | 1 | (-1.9695603910690047e-158) | (/.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 | 73 | 6 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 67 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 67 | |
| ↳ | (*.f64 x x) | underflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 1 |
| - | 8 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 1 | 0 |
| - | 8 | 5 | 110 |
| number | freq |
|---|---|
| 0 | 116 |
| 1 | 140 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 148× | 2 | valid |
| 21.0ms | 256× | 0 | valid |
| 10.0ms | 88× | 1 | valid |
| 8.0ms | 20× | 3 | valid |
Compiled 50 to 22 computations (56% saved)
ival-cos: 40.0ms (64.9% of total)ival-div: 6.0ms (9.7% of total)adjust: 6.0ms (9.7% of total)ival-sub: 5.0ms (8.1% of total)ival-mult: 4.0ms (6.5% 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 | 32 | 17 |
| 2 | 102 | 16 |
| 3 | 300 | 16 |
| 4 | 772 | 16 |
| 5 | 1212 | 16 |
| 6 | 1321 | 16 |
| 7 | 1337 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 19 | 8 |
| 2 | 30 | 8 |
| 3 | 46 | 8 |
| 4 | 82 | 8 |
| 5 | 131 | 8 |
| 6 | 188 | 8 |
| 7 | 324 | 8 |
| 8 | 629 | 8 |
| 9 | 1047 | 8 |
| 10 | 1179 | 8 |
| 0 | 1179 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(abs x)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 19 | 19 |
| 2 | 30 | 19 |
| 3 | 46 | 19 |
| 4 | 82 | 19 |
| 5 | 131 | 19 |
| 6 | 188 | 19 |
| 7 | 324 | 19 |
| 8 | 629 | 19 |
| 9 | 1047 | 19 |
| 10 | 1179 | 19 |
| 0 | 1179 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 14.854075664908672 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 16.43326179578562 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.0ms | 74× | 2 | valid |
| 22.0ms | 128× | 0 | valid |
| 5.0ms | 44× | 1 | valid |
| 4.0ms | 10× | 3 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-cos: 32.0ms (76.3% of total)ival-div: 3.0ms (7.2% of total)adjust: 3.0ms (7.2% of total)ival-mult: 2.0ms (4.8% of total)ival-sub: 2.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 153 |
| 1 | 105 | 153 |
| 2 | 258 | 153 |
| 3 | 601 | 153 |
| 4 | 1281 | 153 |
| 5 | 1981 | 153 |
| 6 | 2536 | 153 |
| 7 | 3409 | 153 |
| 8 | 4960 | 153 |
| 9 | 6581 | 153 |
| 10 | 7480 | 153 |
| 11 | 7690 | 153 |
| 12 | 7708 | 153 |
| 13 | 7710 | 153 |
| 0 | 8119 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 270 | 17 |
| 3 | 2843 | 17 |
| 0 | 9915 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 13 688 to 1 661 computations (87.9% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 16 | 645 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 629 | 17 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 51.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| ▶ | 15.2% | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 21.3% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| ✓ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 15.2% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) | |
| 73.4% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| ▶ | 50.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 15.4% | (-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) | |
| ▶ | 74.2% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ▶ | 15.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
| 51.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 454 to 270 computations (40.5% saved)
| 1× | egg-herbie |
Found 17 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 | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 4 | (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 (neg.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 (cos.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 172 |
| 0 | 51 | 161 |
| 1 | 101 | 152 |
| 2 | 289 | 147 |
| 3 | 2086 | 143 |
| 4 | 4230 | 141 |
| 5 | 6918 | 141 |
| 0 | 8096 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 x x) |
x |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.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 |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(sin.f64 x) |
x |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(*.f64 x x) |
x |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (neg.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 (neg.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 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.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 x x) |
(*.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)) (pow.f64 x #s(literal -2 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(cos.f64 x) |
(pow.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| accuracy | 15.069855620078597 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| accuracy | 44.50309156286145 | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) | |
| accuracy | 0.12728500976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 16.64401038081499 | (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) | |
| accuracy | 44.39710740642332 | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0703125 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 14.854075664908672 | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 16.820118298536695 | (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| accuracy | 30.50270561696159 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 15.897336027654049 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 56.0ms | 74× | 2 | valid |
| 37.0ms | 128× | 0 | valid |
| 17.0ms | 44× | 1 | valid |
| 10.0ms | 10× | 3 | valid |
Compiled 172 to 30 computations (82.6% saved)
ival-mult: 24.0ms (26% of total)ival-cos: 21.0ms (22.7% of total)ival-div: 13.0ms (14.1% of total)adjust: 10.0ms (10.8% of total)ival-sub: 8.0ms (8.7% of total)ival-sin: 6.0ms (6.5% of total)ival-tan: 5.0ms (5.4% of total)ival-pow: 3.0ms (3.2% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 (neg.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 (*.f64 x x) (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(pow x 2) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (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) (+ 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)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* (pow x 2) (- (* 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)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) (pow x 2)) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (pow x 2) (- (cos x) 1)) |
(- (cos x) 1) |
(/ (+ 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 (* 1/2 x)) (cos (* 1/2 x))) |
(cos x) |
(* -1 (* (pow x 2) (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x))) |
| 6.0ms | x | @ | inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x))) |
| 3.0ms | x | @ | 0 | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 644 |
| 1 | 387 | 644 |
| 2 | 1013 | 625 |
| 3 | 3389 | 625 |
| 4 | 4824 | 625 |
| 5 | 7683 | 625 |
| 0 | 8121 | 562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(pow x 2) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1/2 (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) (+ 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)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* (pow x 2) (- (* 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)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) (pow x 2)) |
(sin x) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/ (pow x 2) (- (cos x) 1)) |
(- (cos x) 1) |
(/ (+ 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 (* 1/2 x)) (cos (* 1/2 x))) |
(cos x) |
(* -1 (* (pow x 2) (cos x))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* -1/2 (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)) (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 4) (- (* (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 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(* -1 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
1 |
#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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 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 x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(sin x) |
(sin.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (pow x 2) (- (cos x) 1)) |
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(- (cos x) 1) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/ (+ 1 (* -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 (cos.f64 x) #s(literal 1 binary64)) 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 (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(cos x) |
(cos.f64 x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 142 |
| 0 | 51 | 142 |
| 1 | 196 | 120 |
| 0 | 1422 | 120 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(sin.f64 x) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 (neg.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 (*.f64 x x) (cos.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))) |
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(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x)))) |
(fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 (cos.f64 x)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (*.f64 (cos.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(fma.f64 (cos.f64 x) (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(fma.f64 (*.f64 x x) (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(fma.f64 x (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 x (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(fma.f64 x x (*.f64 (*.f64 (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 x #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (cos.f64 x) x))) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) |
(*.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) |
(*.f64 x (neg.f64 (*.f64 (cos.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)) |
Compiled 8 480 to 1 209 computations (85.7% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 17 | 439 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 428 | 28 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| 15.4% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ▶ | 15.5% | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 27.6% | (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x) | |
| 27.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 27.6% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| 51.2% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 51.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 15.2% | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| ✓ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 24.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 15.1% | (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 73.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 73.5% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) | |
| 15.1% | (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ▶ | 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
| 51.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| ✓ | 50.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 50.4% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| 77.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) | |
| 15.3% | (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))) | |
| ▶ | 15.7% | (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
| ✓ | 15.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
| 74.2% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) | |
| ▶ | 51.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 724 to 452 computations (37.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) | |
| cost-diff | 2 | (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) | |
| cost-diff | 4 | (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 2 | (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| cost-diff | 5 | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| cost-diff | 0 | (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 194 |
| 0 | 58 | 184 |
| 1 | 106 | 181 |
| 2 | 220 | 173 |
| 3 | 639 | 169 |
| 4 | 2032 | 167 |
| 5 | 4907 | 167 |
| 6 | 6585 | 167 |
| 7 | 7604 | 167 |
| 0 | 8038 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) 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))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
x |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(pow.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) 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 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
x |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(pow.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) | |
| accuracy | 0.12109375 | (*.f64 (cos.f64 x) x) | |
| accuracy | 21.96799873491913 | (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) | |
| accuracy | 44.50309156286145 | (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| accuracy | 0.12109375 | (*.f64 (cos.f64 x) x) | |
| accuracy | 0.12728500976844204 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) | |
| accuracy | 21.96799873491913 | (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) | |
| accuracy | 44.39710740642332 | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| accuracy | 0.0703125 | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) | |
| accuracy | 0.08203125 | (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) | |
| accuracy | 14.854075664908672 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 15.909907358772044 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 31.252219961311066 | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.1328125 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) |
| 152.0ms | 74× | 2 | valid |
| 44.0ms | 128× | 0 | valid |
| 19.0ms | 44× | 1 | valid |
| 11.0ms | 10× | 3 | valid |
Compiled 194 to 33 computations (83% saved)
ival-add: 95.0ms (47.7% of total)ival-mult: 24.0ms (12% of total)ival-cos: 23.0ms (11.5% of total)adjust: 19.0ms (9.5% of total)ival-div: 15.0ms (7.5% of total)ival-sin: 6.0ms (3% of total)ival-tan: 5.0ms (2.5% of total)const: 4.0ms (2% of total)ival-sub: 3.0ms (1.5% of total)ival-pow: 3.0ms (1.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) |
(neg.f64 x) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.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 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(pow x 2) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) x) |
(sin x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (pow x 2) (- 1 (cos x))) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (cos x))) |
(* x (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x)) |
| 4.0ms | x | @ | inf | ((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 644 |
| 1 | 420 | 644 |
| 2 | 1010 | 626 |
| 3 | 3173 | 626 |
| 4 | 4485 | 626 |
| 5 | 6437 | 626 |
| 0 | 8230 | 562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(pow x 2) |
2 |
(+ 2 (* 1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 (pow x 4)) |
(* -1/2 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin x) x) |
(sin x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (- 1 (cos x)) (pow x 2)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(/ (pow x 2) (- 1 (cos x))) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* (pow x 2) (- (cos x) 1)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* -1 (* (pow x 2) (cos x))) |
(* x (cos x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
1 |
#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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1/2 (pow x 4)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* (pow x 2) (- (cos x) 1)) |
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 149 |
| 0 | 58 | 134 |
| 1 | 210 | 122 |
| 2 | 1433 | 122 |
| 0 | 8812 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) |
(neg.f64 x) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) |
(/.f64 (sin.f64 x) (neg.f64 (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (*.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (cos.f64 x) x x))) (*.f64 (*.f64 x (fma.f64 (cos.f64 x) x x)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 (cos.f64 x) x x)) (*.f64 x (fma.f64 (cos.f64 x) x x)))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (fma.f64 (cos.f64 x) x x))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (cos.f64 x) x x)))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (cos.f64 x) x x))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (cos.f64 x) x x)))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64))) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) x (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (cos.f64 x)) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 (cos.f64 x) x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) (*.f64 (cos.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) |
(fma.f64 (cos.f64 x) (*.f64 (neg.f64 x) x) (*.f64 x x)) |
(fma.f64 (cos.f64 x) (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 x (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(fma.f64 x (*.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x)) |
(fma.f64 x (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(-.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(-.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x) |
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) |
(*.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) |
(fma.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
Compiled 25 616 to 3 512 computations (86.3% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 208 | 9 | 1 217 |
| Fresh | 5 | 14 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 214 | 31 | 1 245 |
| Status | Accuracy | Program |
|---|---|---|
| 15.5% | (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 15.4% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 15.5% | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| ▶ | 27.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 27.6% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 51.2% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 51.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 15.1% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 15.2% | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) | |
| ▶ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
| ✓ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 24.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 73.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 15.1% | (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ▶ | 99.8% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
| 50.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) | |
| ✓ | 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
| 27.6% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 77.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) | |
| ✓ | 50.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 50.4% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| 15.7% | (*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
| ✓ | 15.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
| 50.3% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| 44.3% | (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64))) | |
| 74.2% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) | |
| ✓ | 51.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 759 to 482 computations (36.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| cost-diff | 8 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) | |
| cost-diff | 0 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 8 | (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (cos.f64 x) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| cost-diff | 4 | (*.f64 x (/.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 204 |
| 0 | 51 | 178 |
| 1 | 111 | 166 |
| 2 | 260 | 154 |
| 3 | 694 | 154 |
| 4 | 1871 | 154 |
| 5 | 4395 | 154 |
| 0 | 8054 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(sin.f64 x) |
x |
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 x) |
x |
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(cos.f64 x) |
x |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
x |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) (cos.f64 x)) | |
| accuracy | 15.069855620078597 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) | |
| accuracy | 16.43326179578562 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 36.28728903789424 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) | |
| accuracy | 0.12109375 | (*.f64 (cos.f64 x) x) | |
| accuracy | 11.914099994978429 | (-.f64 x (*.f64 (cos.f64 x) x)) | |
| accuracy | 16.43326179578562 | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 36.28728903789424 | (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0.109375 | (/.f64 (cos.f64 x) x) | |
| accuracy | 0.26171875 | (*.f64 x (/.f64 (cos.f64 x) x)) | |
| accuracy | 14.854075664908672 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) | |
| accuracy | 16.43326179578562 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 14.854075664908672 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 16.43326179578562 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 27.99956484103181 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.05859375 | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) | |
| accuracy | 0.13671875 | (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 78.0ms | 74× | 2 | valid |
| 59.0ms | 128× | 0 | valid |
| 48.0ms | 44× | 1 | valid |
| 13.0ms | 10× | 3 | valid |
Compiled 200 to 28 computations (86% saved)
ival-mult: 71.0ms (41.1% of total)ival-cos: 35.0ms (20.3% of total)ival-sub: 25.0ms (14.5% of total)ival-div: 21.0ms (12.2% of total)adjust: 9.0ms (5.2% of total)ival-sin: 6.0ms (3.5% of total)ival-tan: 5.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(sin.f64 x) |
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
(/.f64 (cos.f64 x) x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
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)))) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) |
2 |
(+ 2 (* -1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 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 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (+ 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)))) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(sin x) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (cos x) x) |
(* (pow x 2) (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (cos x)) |
(* (pow x 2) (cos x)) |
(+ 1 (* -1 (cos x))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x))) |
| 4.0ms | x | @ | inf | ((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x))) |
| 2.0ms | x | @ | 0 | ((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 639 |
| 1 | 351 | 621 |
| 2 | 820 | 621 |
| 3 | 2577 | 621 |
| 4 | 5085 | 621 |
| 5 | 5405 | 621 |
| 6 | 5916 | 621 |
| 7 | 6800 | 621 |
| 0 | 8043 | 555 |
| 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))) |
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)))) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) |
2 |
(+ 2 (* -1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 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 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (+ 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)))) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(sin x) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(- 1 (cos x)) |
(cos x) |
(/ (cos x) x) |
(* (pow x 2) (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (cos x)) |
(* (pow x 2) (cos x)) |
(+ 1 (* -1 (cos x))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(* x (+ 1 (* -1 (cos x)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ 1 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) 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 x) |
(sin.f64 x) |
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) |
(*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(* (pow x 2) (cos x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(+ 1 (* -1 (cos x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* (pow x 2) (+ 1 (* -1 (cos x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (+ 1 (* -1 (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 174 |
| 0 | 51 | 152 |
| 1 | 209 | 138 |
| 2 | 1513 | 124 |
| 0 | 8748 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(sin.f64 x) |
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) |
(/.f64 (cos.f64 x) x) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) x) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
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(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 (*.f64 x (fma.f64 (cos.f64 x) x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 x) x x)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x (pow.f64 x #s(literal -2 binary64))))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) |
(*.f64 x (cos.f64 x)) |
(/.f64 x (pow.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
(/.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) |
Compiled 23 495 to 3 082 computations (86.9% saved)
36 alts after pruning (25 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 045 | 10 | 1 055 |
| Fresh | 3 | 15 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 050 | 36 | 1 086 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 51.0% | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 15.4% | (/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 15.5% | (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
| 27.6% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) | |
| 27.7% | (/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) | |
| ✓ | 27.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
| 51.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ✓ | 27.6% | (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
| 51.2% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 51.0% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| 15.1% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| 15.2% | (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) | |
| 28.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) (*.f64 x x)) | |
| ✓ | 50.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 24.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 73.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 50.4% | (/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) | |
| 15.1% | (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) | |
| ✓ | 99.8% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
| 15.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) | |
| ✓ | 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
| 27.6% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 77.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) | |
| ✓ | 50.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 50.4% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| 15.7% | (*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| 50.3% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) | |
| ✓ | 15.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
| 74.2% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) | |
| ✓ | 51.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 294 to 511 computations (60.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
2 calls:
| 30.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
2 calls:
| 18.0ms | x |
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
2 calls:
| 40.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.6% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 30.0ms | x |
| 13.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.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))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 77.4% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 74.7% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
Total -0.9b remaining (-2.8%)
Threshold costs -0.9b (-2.8%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| 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 |
|---|---|---|
| 52.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 52.3% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.8076499558694395e-8 | 2.3586477717722464e-7 |
| 9.0ms | 48× | 1 | valid |
Compiled 89 to 73 computations (18% saved)
ival-cos: 6.0ms (74.6% of total)adjust: 1.0ms (12.4% of total)ival-div: 1.0ms (12.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 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 |
|---|---|---|
| 13.0ms | 0.00013665539327142818 | 1919.3485522057908 |
| 7.0ms | 144× | 0 | valid |
Compiled 218 to 181 computations (17% saved)
ival-sub: 1.0ms (24.1% of total)ival-div: 1.0ms (24.1% of total)ival-cos: 1.0ms (24.1% of total)ival-mult: 1.0ms (24.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00013665539327142818 | 1919.3485522057908 |
Compiled 218 to 181 computations (17% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.305649852666807e+75 | 1.915690555007037e+76 |
| 7.0ms | 96× | 0 | valid |
Compiled 131 to 112 computations (14.5% saved)
ival-cos: 3.0ms (57.4% of total)ival-sub: 1.0ms (19.1% of total)ival-mult: 1.0ms (19.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 157 |
| 1 | 66 | 157 |
| 2 | 86 | 157 |
| 3 | 116 | 157 |
| 4 | 176 | 157 |
| 5 | 299 | 157 |
| 6 | 604 | 157 |
| 7 | 1918 | 157 |
| 8 | 5447 | 157 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 270 | 17 |
| 3 | 2843 | 17 |
| 0 | 9915 | 17 |
| 0 | 31 | 142 |
| 0 | 51 | 142 |
| 1 | 196 | 120 |
| 0 | 1422 | 120 |
| 0 | 145 | 644 |
| 1 | 387 | 644 |
| 2 | 1013 | 625 |
| 3 | 3389 | 625 |
| 4 | 4824 | 625 |
| 5 | 7683 | 625 |
| 0 | 8121 | 562 |
| 0 | 34 | 149 |
| 0 | 58 | 134 |
| 1 | 210 | 122 |
| 2 | 1433 | 122 |
| 0 | 8812 | 122 |
| 0 | 42 | 153 |
| 1 | 105 | 153 |
| 2 | 258 | 153 |
| 3 | 601 | 153 |
| 4 | 1281 | 153 |
| 5 | 1981 | 153 |
| 6 | 2536 | 153 |
| 7 | 3409 | 153 |
| 8 | 4960 | 153 |
| 9 | 6581 | 153 |
| 10 | 7480 | 153 |
| 11 | 7690 | 153 |
| 12 | 7708 | 153 |
| 13 | 7710 | 153 |
| 0 | 8119 | 135 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 370 to 175 computations (52.7% saved)
(abs x)
Compiled 352 to 128 computations (63.6% saved)
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