Details

Time bar (total: 4.6s)

sample43.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms211×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
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
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)

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

series145.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
11.0ms
(/ (acos (/ (- g) h)) 3.0)
103.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify110.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0332711
11087659
24512654
35001654

prune301.0ms

Pruning

6 alts after pruning (6 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)))

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:
3.0ms
(/ (* 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)))

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0245488
1854447
23943435
35001435

prune431.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/r*
2×cbrt-undiv pow1/3 div-exp
1×cos-sum frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt (acos (/ (- g) h)))
1.0ms
(cbrt (acos (/ (- g) h)))
12.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))
3.0ms
(/ (* 2.0 PI) 3.0)

series321.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(cbrt (acos (/ (- g) h)))
47.0ms
(cbrt (acos (/ (- g) h)))
234.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify101.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0192655
1677577
23729568
35001566

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (acos (/ (- g) h)))
1.0b
(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))))
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod times-frac associate-/r*
2×cbrt-undiv div-exp
1×cos-sum log1p-udef frac-2neg pow1/3 log1p-expm1 prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 57
Calls
4 calls:
0.0ms
(cbrt (acos (/ (- g) h)))
0.0ms
(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))))
15.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))
3.0ms
(/ (* 2.0 PI) 3.0)

series637.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(cbrt (acos (/ (- g) h)))
359.0ms
(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))))
232.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify102.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0205886
1692772
23745770
35002769

prune259.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes375.0ms

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
463.0ms8000×body80valid
411.0ms8216×body80nan