Details

Time bar (total: 1.7s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify202.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (199.0ms)

IterNodesCost
0198720
1198720

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
0.2b
(*.f64 6.0 (*.f64 v v))
1.0b
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log_binary64 add-cbrt-cube_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
13×flip3--_binary64 flip--_binary64
12×pow-prod-down_binary64 add-sqr-sqrt_binary64 sqrt-div_binary64
11×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-/r/_binary64 frac-times_binary64
associate-*l*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
sub-neg_binary64
associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 107
Calls
4 calls:
7.0ms
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
12.0ms
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
6.0ms
(*.f64 6.0 (*.f64 v v))
13.0ms
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v)))
20.0ms
(*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v)))))
4.0ms
(*.f64 6.0 (*.f64 v v))
22.0ms
(/.f64 4.0 (*.f64 (*.f64 (*.f64 3.0 PI.f64) (-.f64 1.0 (*.f64 v v))) (sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
056262185

prune132.0ms

Filtered
82 candidates to 119 candidates (-45.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh000
Picked101
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))
0.0b
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
0.0b
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
0.2b
(*.f64 6.0 (*.f64 v v))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64 add-cbrt-cube_binary64
15×pow1_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
associate-*l*_binary64
pow-prod-down_binary64
add-log-exp_binary64 associate-*l/_binary64
flip3--_binary64 cbrt-undiv_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 flip--_binary64 sqrt-prod_binary64
associate-*r*_binary64 associate-/r/_binary64 sqrt-div_binary64 *-commutative_binary64
associate-/r*_binary64 pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64
Counts
4 → 80
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))
8.0ms
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
7.0ms
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
6.0ms
(*.f64 6.0 (*.f64 v v))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt.f64 (-.f64 2.0 (*.f64 6.0 (*.f64 v v))))
7.0ms
(/.f64 4.0 (*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64)))
11.0ms
(*.f64 (-.f64 1.0 (*.f64 v v)) (*.f64 3.0 PI.f64))
4.0ms
(*.f64 6.0 (*.f64 v v))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04972988
14972988

prune82.0ms

Filtered
62 candidates to 92 candidates (-48.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
0.0b
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
0.2b
(*.f64 (*.f64 v v) 6.0)
1.0b
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log_binary64 add-cbrt-cube_binary64
26×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
22×associate-*l*_binary64
20×pow1_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
16×associate-/r/_binary64
15×add-sqr-sqrt_binary64
14×frac-times_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-*r*_binary64 associate-*l/_binary64
times-frac_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
add-log-exp_binary64 sub-neg_binary64
associate-/l*_binary64 sqrt-prod_binary64 *-commutative_binary64
flip3-+_binary64 unswap-sqr_binary64 div-inv_binary64 flip-+_binary64
associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 133
Calls
4 calls:
21.0ms
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
15.0ms
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
6.0ms
(*.f64 (*.f64 v v) 6.0)
18.0ms
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(*.f64 (/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))) (+.f64 1.0 (*.f64 v v)))
21.0ms
(*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4))))
4.0ms
(*.f64 (*.f64 v v) 6.0)
21.0ms
(/.f64 4.0 (*.f64 (sqrt.f64 (-.f64 2.0 (*.f64 (*.f64 v v) 6.0))) (*.f64 (*.f64 3.0 PI.f64) (-.f64 (*.f64 1.0 1.0) (pow.f64 v 4)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049753633
149753633

prune214.0ms

Filtered
103 candidates to 145 candidates (-40.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh000
Picked011
Done011
Total1452147

Merged error: 0b

Counts
147 → 2

regimes46.0ms

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
05520
15520

end0.0ms

sample484.0ms

Algorithm
intervals
Results
389.0ms8000×body80valid
0.0msbody80nan

Profiling

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