Details

Time bar (total: 4.7s)

sample59.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
18.0ms233×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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:
3.0ms
(/ (acos (/ (- g) h)) 3.0)
24.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
3.0ms
(/ (* 2.0 PI) 3.0)

series143.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
101.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite52.0ms

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:
3.0ms
(/ (* 2.0 PI) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
15.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
20.0ms
(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)))

simplify101.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune419.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(acos (/ (- g) h))
1.0b
(/ (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)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×acos-neg acos-asin div-sub distribute-frac-neg
1×cbrt-undiv cos-sum frac-2neg div-exp clear-num fma-udef div-inv
Counts
3 → 52
Calls
3 calls:
0.0ms
(acos (/ (- g) h))
2.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(acos (/ (- g) h))
11.0ms
(/ (acos (/ (- g) h)) 3.0)
207.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0151513
1338463
2759463
32001463
45002463

prune198.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (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)))
1.0b
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
1.0b
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow3 div-sub sqr-pow
1×cbrt-undiv acos-neg acos-asin pow-to-exp cos-sum pow-pow frac-2neg pow1/3 distribute-frac-neg div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
2.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
1.0ms
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
2.0ms
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)

series701.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
214.0ms
(cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0)))
211.0ms
(cbrt (pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3))
265.0ms
(pow (cos (fma (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ (acos (/ (- g) h)) 3.0))) 3)

simplify154.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
02351390
17451299
239441293
350021293

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02743
12743

end0.0ms

sample1.7s

Algorithm
intervals
Results
766.0ms8000×body80valid
610.0ms7832×body80nan