Details

Time bar (total: 1.8s)

analyze169.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14

sample29.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
1.0ms20×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
05314
15314

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(*.f64 PI.f64 2/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×times-frac_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64
6×add-log-exp_binary64 pow1_binary64 div-sub_binary64
4×associate-+r-_binary64
3×associate-/r*_binary64 acos-asin_binary64 associate-*r*_binary64 acos-neg_binary64 associate-*l*_binary64 associate-/l*_binary64 distribute-frac-neg_binary64
2×cos-diff_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 cos-sum_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 70
Calls
4 calls:
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
11.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms
(*.f64 PI.f64 2/3)

series24.0ms

Counts
4 → 10
Calls
4 calls:
4.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
14.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.0ms
(*.f64 PI.f64 2/3)

simplify71.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05026857

prune85.0ms

Filtered
59 candidates to 80 candidates (-35.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh000
Picked101
Done000
Total79281

Merged error: 0.9b

Counts
81 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×add-log-exp_binary64 pow1_binary64 acos-asin_binary64 div-sub_binary64
1×cbrt-undiv_binary64 cos-diff_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 36
Calls
2 calls:
3.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
4.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

series12.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
3.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify110.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
04977405
14977405

prune46.0ms

Filtered
31 candidates to 42 candidates (-35.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh101
Picked011
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
0.0b
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
0.0b
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac_binary64
155×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
144×sqrt-prod_binary64
25×associate-/l*_binary64
12×associate-/r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
9×div-inv_binary64
5×div-sub_binary64
4×cbrt-undiv_binary64 div-exp_binary64
3×add-log-exp_binary64 pow1_binary64 acos-asin_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 cos-diff_binary64
Counts
3 → 224
Calls
3 calls:
10.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
11.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
5.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series36.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
10.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
6.0ms
(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify83.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048483753
148483753

prune152.0ms

Filtered
108 candidates to 233 candidates (-115.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2330233
Fresh000
Picked011
Done011
Total2332235

Merged error: 0b

Counts
235 → 2

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03614
13614

end0.0ms

sample812.0ms

Algorithm
intervals
Results
608.0ms8000×body80valid
38.0ms557×body80nan

Profiling

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