Details

Time bar (total: 5.5s)

sample47.0ms

Algorithm
intervals
Results
16.0ms261×body80nan
16.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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:

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

rewrite44.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
21.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(/ (* 2.0 PI) 3.0)

series146.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
31.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
104.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify108.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite54.0ms

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:
4.0ms
(/ (* 2.0 PI) 3.0)
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
24.0ms
(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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune408.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
78×prod-diff
73×times-frac
43×cos-sum
8×add-exp-log add-cbrt-cube div-inv
6×associate-/r* associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×acos-asin fma-neg div-sub
2×cbrt-undiv sub-neg frac-2neg div-exp associate--l+ clear-num fma-udef associate--r- difference-of-squares
1×cos-diff flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 173
Calls
4 calls:
3.0ms
(/ (acos (/ g h)) 3.0)
11.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (acos (/ g h)) 3.0))
21.0ms
(cos (- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
2.0ms
(/ PI 3.0)

series191.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(/ (acos (/ g h)) 3.0)
54.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (acos (/ g h)) 3.0))
127.0ms
(cos (- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(/ PI 3.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
07915634
118824464
250013884

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3.0)
1.0b
(sin (- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0)))
1.0b
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))
1.0b
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
609×times-frac
476×add-sqr-sqrt
462×*-un-lft-identity
458×add-cube-cbrt
387×prod-diff
132×sin-sum
37×div-inv
8×add-log-exp
6×add-exp-log fma-neg add-cbrt-cube difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u
3×sub-neg associate--l+ associate-/r* fma-udef associate-/l*
2×flip3-- diff-log flip-- distribute-lft-out--
1×cbrt-undiv frac-2neg div-exp clear-num sin-diff
Counts
4 → 473
Calls
4 calls:
2.0ms
(/ PI 3.0)
63.0ms
(sin (- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0)))
21.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))
25.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ PI 3.0)
0.0ms
(sin (- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0)))
0.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))
0.0ms
(- (fma (/ 2.0 3.0) PI (/ PI 3.0)) (/ (/ PI 2) 3.0))

simplify188.0ms

Algorithm
egg-herbie
Counts
477 → 477
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0212121923
1500118576

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

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
02622
12622

end0.0ms

sample1.2s

Algorithm
intervals
Results
497.0ms8000×body80valid
410.0ms8159×body80nan