Details

Time bar (total: 3.8s)

sample46.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
13.0ms264×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
(+ (/ (* 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)

rewrite33.0ms

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)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
11.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (* 2.0 PI) 3.0)

series148.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
34.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
102.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune278.0ms

Pruning

4 alts after pruning (4 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)))

rewrite43.0ms

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:
5.0ms
(/ (* 2.0 PI) 3.0)
13.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms
(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)))

simplify106.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac associate-/r*
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
2×cos-diff associate-+r- div-sub
1×acos-neg acos-asin cos-sum distribute-frac-neg
Counts
4 → 81
Calls
4 calls:
12.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(/ (* 2.0 PI) 3.0)
5.0ms
(/ (* 2.0 PI) 3.0)
5.0ms
(/ (* 2.0 PI) 3.0)

series103.0ms

Counts
4 → 6
Calls
4 calls:
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187530
1600468
22565468
35001468

prune302.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity
16×cbrt-prod add-cube-cbrt
11×pow1 add-exp-log
9×add-cbrt-cube
7×fma-def
6×times-frac pow1/3 swap-sqr associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u unswap-sqr
3×associate-/r*
2×cbrt-undiv div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod div-inv
1×+-commutative pow2 cos-sum frac-2neg flip3-+ pow-plus frac-add clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
19.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))
6.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
17.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))
5.0ms
(/ (* 2.0 PI) 3.0)

series191.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))
52.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
104.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03301258
113211130
250011041

prune284.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes277.0ms

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
480.0ms8000×body80valid
383.0ms7988×body80nan