
Time bar (total: 8.7s)
| 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)
| 662.0ms | 2 243× | 2 | valid |
| 370.0ms | 4 248× | 0 | valid |
| 224.0ms | 549× | 3 | valid |
| 194.0ms | 1 216× | 1 | valid |
ival-cos: 777.0ms (64.5% of total)adjust: 137.0ms (11.4% of total)ival-div: 127.0ms (10.5% of total)ival-sub: 91.0ms (7.5% of total)ival-mult: 59.0ms (4.9% of total)ival-true: 7.0ms (0.6% of total)exact: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 3 | (-3.3228249931729526e+283) | 1 | (-3.5604833822025284e+223) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 52 | 0 | - | 1 | (2.0547647347650522e-157) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 80 | 4 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | u/u | 48 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 48 | |
| ↳ | (*.f64 x x) | underflow | 48 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 6 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 6 | 4 | 121 |
| number | freq |
|---|---|
| 0 | 125 |
| 1 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 127.0ms | 38× | 3 | valid |
| 30.0ms | 118× | 2 | valid |
| 22.0ms | 274× | 0 | valid |
| 9.0ms | 82× | 1 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-cos: 36.0ms (62.5% of total)ival-div: 6.0ms (10.4% of total)adjust: 5.0ms (8.7% of total)ival-sub: 5.0ms (8.7% of total)ival-mult: 4.0ms (6.9% 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 |
|---|---|---|
| ▶ | 53.5% | (/.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 | -384 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 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 | 12.136195098586423 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | |
| accuracy | 16.680846086104324 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 19.0ms | 41× | 1 | valid |
| 15.0ms | 59× | 2 | valid |
| 11.0ms | 137× | 0 | valid |
| 7.0ms | 19× | 3 | valid |
Compiled 40 to 14 computations (65% saved)
ival-cos: 18.0ms (42.2% of total)ival-mult: 16.0ms (37.5% of total)adjust: 3.0ms (7% of total)ival-div: 3.0ms (7% of total)ival-sub: 3.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
1/2 |
(+ 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 (cos x)) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x))) |
| 1.0ms | x | @ | 0 | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x))) |
| 1.0ms | x | @ | inf | ((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (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 | 609 | 153 |
| 4 | 1292 | 153 |
| 5 | 2005 | 153 |
| 6 | 2548 | 153 |
| 7 | 3421 | 153 |
| 8 | 4978 | 153 |
| 9 | 6603 | 153 |
| 10 | 7491 | 153 |
| 11 | 7702 | 153 |
| 12 | 7720 | 153 |
| 13 | 7722 | 153 |
| 0 | 8142 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
1/2 |
(+ 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 (cos x)) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #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)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (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 (/.f64 (pow.f64 (sin.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 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (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)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 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 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))) |
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 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 |
|---|---|---|
| 28.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 80.0% | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) | |
| 54.5% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| ▶ | 17.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| ▶ | 53.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
| ✓ | 53.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 27.7% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 80.4% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) | |
| 54.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| ▶ | 53.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 12.9% | (-.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)))) | |
| 17.1% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) | |
| 54.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 80.4% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 13.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| ▶ | 48.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 456 to 272 computations (40.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 1088 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 256 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| cost-diff | 1024 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| cost-diff | 6208 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) 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 | 320 | (/.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 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 384 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 158 |
| 0 | 52 | 149 |
| 1 | 98 | 146 |
| 2 | 272 | 131 |
| 3 | 1323 | 131 |
| 4 | 3399 | 131 |
| 5 | 4841 | 131 |
| 6 | 5747 | 131 |
| 7 | 6417 | 131 |
| 8 | 7157 | 131 |
| 0 | 8186 | 131 |
| 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x) |
(*.f64 x x) |
x |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.5914073695366782 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 12.136195098586423 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 16.680846086104324 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.125 | (/.f64 (cos.f64 x) x) | |
| accuracy | 11.53477906853945 | (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) | |
| accuracy | 24.365726217213385 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 27.14012285501909 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.4196686439376578 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 12.09241940175646 | (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| accuracy | 16.680846086104324 | (-.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 32.84646916718113 | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (tan.f64 (/.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.20378876953688402 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| accuracy | 12.007724371728395 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 53.0ms | 137× | 0 | valid |
| 36.0ms | 59× | 2 | valid |
| 16.0ms | 19× | 3 | valid |
| 15.0ms | 41× | 1 | valid |
Compiled 316 to 63 computations (80.1% saved)
ival-div: 20.0ms (23.2% of total)ival-cos: 20.0ms (23.2% of total)ival-mult: 11.0ms (12.8% of total)adjust: 8.0ms (9.3% of total)ival-tan: 8.0ms (9.3% of total)ival-sin: 8.0ms (9.3% of total)ival-sub: 7.0ms (8.1% of total)ival-pow: 3.0ms (3.5% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% 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)))) |
(sin.f64 x) |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
#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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (cos.f64 x) x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(pow x 2) |
(* 1/2 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)))))))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* 1/2 (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))) |
(/ 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) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(sin x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 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 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(- 1 (cos x)) |
(cos x) |
(/ (sin x) (pow x 2)) |
(/ (cos x) x) |
(* -1 (* x (- 1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x)) |
| 4.0ms | x | @ | -inf | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 623 |
| 1 | 358 | 617 |
| 2 | 909 | 609 |
| 3 | 2803 | 609 |
| 4 | 3907 | 609 |
| 5 | 6530 | 609 |
| 0 | 8223 | 546 |
| 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)))) |
(pow x 2) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* 1/2 (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))) |
(/ 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) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(sin x) |
(/ (sin (* 1/2 x)) (cos (* 1/2 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 (* x (cos x))) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(- 1 (cos x)) |
(cos x) |
(/ (sin x) (pow x 2)) |
(/ (cos x) x) |
(* -1 (* x (- 1 (cos x)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (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) |
(pow x 2) |
(*.f64 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) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(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)) (neg.f64 x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (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 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (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)) |
(/ 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) |
(/ (+ 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) |
(/ (* (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) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 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 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (sin x) (pow x 2)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 125 |
| 0 | 52 | 114 |
| 1 | 190 | 107 |
| 2 | 1321 | 106 |
| 0 | 8718 | 106 |
| 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)))) |
(sin.f64 x) |
(*.f64 x x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
#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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (cos.f64 x) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.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))) |
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(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (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) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
Compiled 20 315 to 2 668 computations (86.9% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 936 | 10 | 946 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 939 | 24 | 963 |
| Status | Accuracy | Program |
|---|---|---|
| 18.0% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 18.0% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 28.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 54.6% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| ▶ | 54.5% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
| ✓ | 17.8% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 42.4% | (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ✓ | 53.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
| ✓ | 53.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 27.7% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 80.4% | (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) | |
| 99.2% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) | |
| 42.4% | (/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 54.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| ✓ | 53.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 76.3% | (/.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)))) | |
| 12.9% | (-.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)))) | |
| ▶ | 17.1% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
| 54.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 80.4% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
| 13.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| ✓ | 48.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 651 to 389 computations (40.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1024 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| cost-diff | 1024 | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) | |
| cost-diff | 6336 | (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 6400 | (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (neg.f64 (/.f64 (cos.f64 x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 128 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| cost-diff | 832 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| cost-diff | -384 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (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 | 32 | 207 |
| 0 | 58 | 189 |
| 1 | 114 | 178 |
| 2 | 348 | 168 |
| 3 | 1802 | 161 |
| 4 | 3511 | 160 |
| 5 | 6084 | 160 |
| 6 | 7547 | 160 |
| 0 | 8009 | 160 |
| 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) |
(/.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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
x |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.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 (/.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) |
(/.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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.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 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
x |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
(neg.f64 x) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.847257234687918 | (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 11.885956108245836 | (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 27.14012285501909 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) | |
| accuracy | 29.075167839185028 | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) | |
| accuracy | 0.125 | (/.f64 (cos.f64 x) x) | |
| accuracy | 28.851757533804708 | (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) | |
| accuracy | 0.4196686439376578 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| accuracy | 11.713213025006613 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| accuracy | 16.680846086104324 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 12.136195098586423 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 16.680846086104324 | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 30.272154117472535 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.078125 | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) | |
| accuracy | 0.11328125 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) | |
| accuracy | 0.140625 | (/.f64 (sin.f64 x) x) |
| 51.0ms | 46× | 2 | valid |
| 42.0ms | 137× | 0 | valid |
| 33.0ms | 73× | 1 | valid |
Compiled 410 to 63 computations (84.6% saved)
ival-cos: 30.0ms (29.7% of total)ival-div: 25.0ms (24.7% of total)ival-mult: 14.0ms (13.8% of total)ival-sin: 8.0ms (7.9% of total)adjust: 6.0ms (5.9% of total)ival-neg: 6.0ms (5.9% of total)ival-sub: 6.0ms (5.9% of total)ival-tan: 5.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) 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) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.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 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
1 |
(+ 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))))))) |
(* 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 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
2 |
(+ 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))))))) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* 1/2 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 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) |
(/ (* (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)) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (pow x 2) (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ (cos x) (pow x 2)) |
(* -1 (* x (cos x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (cos x) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos 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)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos 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)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 764 |
| 1 | 382 | 764 |
| 2 | 931 | 752 |
| 3 | 2805 | 746 |
| 4 | 5309 | 746 |
| 5 | 7221 | 742 |
| 0 | 8072 | 663 |
| 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))))))) |
(* 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 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(pow x 2) |
2 |
(+ 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))))))) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* 1/2 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 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) |
(/ (* (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)) |
(cos x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (pow x 2) (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ (- (cos x) 1) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (cos x) x)) |
(/ (cos x) (pow x 2)) |
(* -1 (* x (cos x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (cos x) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
1 |
#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)) |
(* 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 (* -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) |
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)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/.f64 (/.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) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(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)) (neg.f64 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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (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) |
(/ (* (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)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (pow x 2) (- 1 (cos x))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ (- (cos x) 1) x) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (cos x) x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(/ (cos x) (pow x 2)) |
(/.f64 (/.f64 (cos.f64 x) x) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 173 |
| 0 | 58 | 164 |
| 1 | 231 | 141 |
| 2 | 2175 | 135 |
| 0 | 8711 | 135 |
| 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) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.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 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (cos.f64 x) x) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 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)) (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 (/.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)) (*.f64 x x))) |
(*.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)) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x)))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (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 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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)))) |
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(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) x) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (cos.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
Compiled 23 081 to 3 190 computations (86.2% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 071 | 11 | 1 082 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 078 | 28 | 1 106 |
| Status | Accuracy | Program |
|---|---|---|
| 18.0% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| ▶ | 18.0% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 54.6% | (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| 28.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 53.3% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 54.6% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x)) | |
| 54.6% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| ▶ | 54.6% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| 54.5% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| ▶ | 42.4% | (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| ✓ | 53.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
| ✓ | 53.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 27.7% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 99.2% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 42.4% | (/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 53.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) | |
| ✓ | 54.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| 76.1% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) | |
| ▶ | 76.3% | (/.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)))) |
| ✓ | 53.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 43.3% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 43.3% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x)))) | |
| 54.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
| 13.3% | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64))) | |
| 80.3% | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) | |
| ✓ | 48.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 705 to 454 computations (35.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) | |
| cost-diff | 1472 | (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) | |
| cost-diff | 6592 | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) | |
| cost-diff | 512 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) | |
| cost-diff | 832 | (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) | |
| cost-diff | 0 | #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) | |
| cost-diff | 256 | (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 255 |
| 0 | 67 | 243 |
| 1 | 127 | 243 |
| 2 | 318 | 212 |
| 3 | 1276 | 206 |
| 4 | 3314 | 206 |
| 5 | 4970 | 206 |
| 6 | 7978 | 206 |
| 0 | 8211 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
(/.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)))) |
#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))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(neg.f64 x) |
x |
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
(/.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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) |
#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))) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (+.f64 #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x))) x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x)))) |
(neg.f64 x) |
x |
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)) |
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 (cos.f64 x) (neg.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 (cos.f64 x) (neg.f64 x)) |
(cos.f64 x) |
(neg.f64 x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(fma.f64 (cos.f64 x) x (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(cos.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 0.09994125976844202 | (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) | |
| accuracy | 24.365726217213385 | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 44.37121123588532 | (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) | |
| accuracy | 28.851757533804708 | (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (neg.f64 x) x) x) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 (cos.f64 x)) x) | |
| accuracy | 11.53477906853945 | (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) | |
| accuracy | 24.365726217213385 | (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.4196686439376578 | (/.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)))) | |
| accuracy | 14.854252486594849 | #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.109375 | (*.f64 x (/.f64 x (sin.f64 x))) | |
| accuracy | 0.15625 | (/.f64 x (sin.f64 x)) | |
| accuracy | 0.41804740370609983 | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 57.0ms | 137× | 0 | valid |
| 51.0ms | 59× | 2 | valid |
| 26.0ms | 19× | 3 | valid |
| 23.0ms | 41× | 1 | valid |
Compiled 483 to 80 computations (83.4% saved)
ival-mult: 30.0ms (23.2% of total)ival-cos: 29.0ms (22.4% of total)ival-div: 23.0ms (17.8% of total)adjust: 12.0ms (9.3% of total)ival-add: 9.0ms (7% of total)ival-sub: 7.0ms (5.4% of total)ival-tan: 7.0ms (5.4% of total)ival-sin: 5.0ms (3.9% of total)const: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.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)))) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(neg.f64 x) |
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 (*.f64 (neg.f64 x) 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))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
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))))))) |
(pow x 2) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(* -1 (pow x 3)) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (pow x 2) (sin x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (pow x 2) (- 1 (cos x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (cos x))) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* x (- (cos x) 1)) |
(* -1 (* (pow x 2) (cos x))) |
(/ x (sin x)) |
(cos x) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (/ (- 1 (cos x)) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x)) |
| 5.0ms | x | @ | -inf | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x)) |
| 3.0ms | x | @ | 0 | ((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 647 |
| 1 | 433 | 641 |
| 2 | 1131 | 624 |
| 3 | 3419 | 618 |
| 4 | 4967 | 618 |
| 5 | 7594 | 618 |
| 0 | 8113 | 557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
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))))))) |
(pow x 2) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(* -1 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(/ -1 x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(* -1 (pow x 3)) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (pow x 2) (sin x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (pow x 2) (- 1 (cos x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(* -1 (* x (cos x))) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(* -1 (/ (cos x) x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* x (- (cos x) 1)) |
(* -1 (* (pow x 2) (cos x))) |
(/ x (sin x)) |
(cos x) |
(* -1 (* x (- 1 (cos x)))) |
(* -1 (/ (- 1 (cos x)) x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
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)) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/24 (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 3 binary64))) |
(* (pow x 3) (- (* (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 3 binary64))) |
(* (pow x 3) (- (* (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 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 (pow x 2)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(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)) (neg.f64 x)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (pow x 2)) 1) x) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x))) |
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/2 (pow x 2)) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 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)) (neg.f64 x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (pow x 2) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (pow x 2) (- 1 (cos x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (* x (+ 1 (* -1 (cos x))))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* x (cos x))) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (/ (+ 1 (* -1 (cos x))) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (cos x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* x (- (cos x) 1)) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (* (pow x 2) (cos x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(cos x) |
(cos.f64 x) |
(* -1 (* x (- 1 (cos x)))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(* -1 (/ (- 1 (cos x)) x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 218 |
| 0 | 67 | 206 |
| 1 | 246 | 196 |
| 2 | 1769 | 175 |
| 0 | 8501 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.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)))) |
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(neg.f64 x) |
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (neg.f64 x) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) x))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) x)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 x (/.f64 (sin.f64 x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) |
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(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) |
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(fma.f64 x (/.f64 x (/.f64 x (cos.f64 x))) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) x))))) |
(-.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x) |
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) |
(*.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(neg.f64 (*.f64 (cos.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (cos.f64 x))) |
(neg.f64 (*.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(*.f64 x (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(/.f64 x (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) x) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) |
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 x (/.f64 x (cos.f64 x))) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (cos.f64 x) x)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 (cos.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (cos.f64 x) (neg.f64 x)) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 x (/.f64 x (cos.f64 x)))) |
(*.f64 (neg.f64 x) (cos.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (cos.f64 x) x)) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) x)) |
(*.f64 x (/.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) x)) |
(*.f64 x (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x)) |
(*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
(*.f64 x (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))) x) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 x (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (/.f64 x (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 x (cos.f64 x))) |
(/.f64 (*.f64 x x) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) |
(neg.f64 (*.f64 (cos.f64 x) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x))) (/.f64 (*.f64 x x) (/.f64 x (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) x) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (*.f64 (neg.f64 x) x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x)))) |
Compiled 31 155 to 3 557 computations (88.6% saved)
36 alts after pruning (25 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 194 | 14 | 1 208 |
| Fresh | 5 | 11 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 200 | 36 | 1 236 |
| Status | Accuracy | Program |
|---|---|---|
| 18.0% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 54.6% | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) | |
| ✓ | 18.0% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| 17.2% | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 17.4% | (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 17.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 53.5% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x)) | |
| 53.4% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) | |
| 28.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 53.3% | (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 54.6% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) | |
| 54.6% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 54.6% | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| 54.5% | (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) | |
| ✓ | 42.4% | (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
| ✓ | 53.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 27.7% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ✓ | 99.2% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 42.4% | (/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) | |
| 53.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) | |
| ✓ | 54.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
| 76.1% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) | |
| 76.3% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) | |
| 76.3% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) | |
| 76.3% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) | |
| ✓ | 76.3% | (/.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)))) |
| 31.7% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| ✓ | 53.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
| 43.3% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 43.3% | (-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x)))) | |
| 53.4% | (*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) | |
| 54.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 80.3% | (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
| ✓ | 48.7% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 370 to 559 computations (59.2% saved)
| Inputs |
|---|
#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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.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 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
2 calls:
| 15.0ms | (/.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)) |
(/.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 (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.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 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
2 calls:
| 13.0ms | x |
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 99.1% | 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)) |
(/.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 (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.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 (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.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 (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #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 |
|---|---|---|
| 99.1% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 76.3% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#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)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 |
|---|---|---|
| 76.3% | 2 | x |
| 51.8% | 3 | (/.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)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 48.7% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.713242363508151e-13 | 65.89926140972254 |
| 8.0ms | 160× | 0 | valid |
Compiled 241 to 190 computations (21.2% saved)
ival-cos: 2.0ms (42.1% of total)ival-sub: 1.0ms (21.1% of total)ival-div: 1.0ms (21.1% of total)ival-mult: 1.0ms (21.1% 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 |
|---|---|---|
| 11.0ms | 6.713242363508151e-13 | 65.89926140972254 |
| 4.0ms | 80× | 0 | valid |
Compiled 241 to 190 computations (21.2% saved)
ival-cos: 1.0ms (42.7% of total)ival-mult: 1.0ms (42.7% of total)ival-sub: 0.0ms (0% 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× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.713242363508151e-13 | 65.89926140972254 |
Compiled 191 to 170 computations (11% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.713242363508151e-13 | 65.89926140972254 |
Compiled 191 to 170 computations (11% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.713242363508151e-13 | 65.89926140972254 |
| 9.0ms | 128× | 0 | valid |
Compiled 351 to 290 computations (17.4% saved)
ival-cos: 4.0ms (61.1% of total)ival-sub: 1.0ms (15.3% of total)ival-div: 1.0ms (15.3% of total)ival-mult: 1.0ms (15.3% 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 |
|---|---|---|
| 20.0ms | 4.0818525884518865e+73 | 7.024455254485067e+78 |
| 14.0ms | 144× | 0 | valid |
Compiled 191 to 163 computations (14.7% saved)
ival-cos: 9.0ms (77.7% of total)ival-sub: 1.0ms (8.6% of total)ival-div: 1.0ms (8.6% of total)ival-mult: 1.0ms (8.6% 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: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 198 |
| 1 | 101 | 198 |
| 2 | 147 | 198 |
| 3 | 200 | 198 |
| 4 | 295 | 198 |
| 5 | 464 | 198 |
| 6 | 868 | 198 |
| 7 | 2732 | 197 |
| 8 | 6328 | 197 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 33000000000000000588821611809486331116969429241262320008797945195488522272768 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))) |
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))) x)) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal 33000000000000000588821611809486331116969429241262320008797945195488522272768 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 | 32 | 125 |
| 0 | 52 | 114 |
| 1 | 190 | 107 |
| 2 | 1321 | 106 |
| 0 | 8718 | 106 |
| 0 | 143 | 623 |
| 1 | 358 | 617 |
| 2 | 909 | 609 |
| 3 | 2803 | 609 |
| 4 | 3907 | 609 |
| 5 | 6530 | 609 |
| 0 | 8223 | 546 |
| 0 | 32 | 173 |
| 0 | 58 | 164 |
| 1 | 231 | 141 |
| 2 | 2175 | 135 |
| 0 | 8711 | 135 |
| 0 | 151 | 764 |
| 1 | 382 | 764 |
| 2 | 931 | 752 |
| 3 | 2805 | 746 |
| 4 | 5309 | 746 |
| 5 | 7221 | 742 |
| 0 | 8072 | 663 |
| 0 | 158 | 647 |
| 1 | 433 | 641 |
| 2 | 1131 | 624 |
| 3 | 3419 | 618 |
| 4 | 4967 | 618 |
| 5 | 7594 | 618 |
| 0 | 8113 | 557 |
| 0 | 42 | 153 |
| 1 | 105 | 153 |
| 2 | 258 | 153 |
| 3 | 609 | 153 |
| 4 | 1292 | 153 |
| 5 | 2005 | 153 |
| 6 | 2548 | 153 |
| 7 | 3421 | 153 |
| 8 | 4978 | 153 |
| 9 | 6603 | 153 |
| 10 | 7491 | 153 |
| 11 | 7702 | 153 |
| 12 | 7720 | 153 |
| 13 | 7722 | 153 |
| 0 | 8142 | 135 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 40 | 17 |
| 2 | 270 | 17 |
| 3 | 2843 | 17 |
| 0 | 9915 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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× | node limit |
| 1× | iter limit |
Compiled 322 to 153 computations (52.5% saved)
(abs x)
Compiled 432 to 160 computations (63% saved)
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