Details

Time bar (total: 4.4s)

sample48.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms282×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1259
2299
3329
4339
5339

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
7×fma-def
6×div-sub associate-/r* add-log-exp
5×div-inv
4×pow1 expm1-log1p-u associate-+r- log1p-expm1-u associate-/l*
3×cbrt-undiv acos-neg acos-asin distribute-frac-neg div-exp
2×cos-diff frac-2neg clear-num
1×+-commutative cos-sum distribute-rgt-out flip3-+ frac-add prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 91
Calls
4 calls:
23.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
33.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms
(/ (* 2.0 PI) 3.0)

series149.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
105.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify114.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×times-frac
14×add-sqr-sqrt add-cube-cbrt fma-def
10×distribute-rgt-out
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r*
2×cbrt-undiv +-commutative distribute-lft1-in flip3-+ div-exp frac-add sum-log flip-+ distribute-lft-out
1×frac-2neg sin-sum prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 89
Calls
4 calls:
10.0ms
(/ (* 2.0 PI) 3.0)
22.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
20.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
33.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune411.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u add-log-exp
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
2.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series220.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
209.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0148450
1335407
2754407
31990407
45001407

prune162.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))))
0.0b
(log (exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log exp-prod add-cbrt-cube
5×pow1 add-log-exp
4×expm1-log1p-u log-pow log1p-expm1-u
3×cos-sum log-prod associate-/r* fma-udef associate-/l*
2×exp-diff div-sub
1×cbrt-undiv acos-neg acos-asin log-div frac-2neg distribute-frac-neg div-exp rem-log-exp clear-num div-inv rem-exp-log
Counts
4 → 73
Calls
4 calls:
4.0ms
(exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))))
5.0ms
(log (exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series678.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))))
211.0ms
(log (exp (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))))
18.0ms
(/ (acos (/ (- g) h)) 3.0)
210.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01931056
1414947
2860947
32227947
45001947

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample1.3s

Algorithm
intervals
Results
486.0ms8000×body80valid
390.0ms7842×body80nan