Details

Time bar (total: 14.0s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.7%98%0.3%13
2.5%97.2%0.3%14

sample41.0ms

Algorithm
intervals
Results
14.0ms255×body80valid
8.0ms144×body80invalid
0.0ms1×body640valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
0523021

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0b
(*.f64 (-.f64 t 1) a)
0.0b
(*.f64 (-.f64 (+.f64 y t) 2) b)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/_binary64
18×flip3--_binary64 flip--_binary64
17×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×associate-*l*_binary64
12×add-log-exp_binary64 frac-add_binary64
8×frac-sub_binary64
7×pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-*r*_binary64
3×diff-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sum-log_binary64
2×pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 associate-+l+_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 difference-of-sqr-1_binary64 associate-+l-_binary64 +-commutative_binary64 flip-+_binary64 associate--l+_binary64
Counts
3 → 75
Calls
3 calls:
14.0ms
(+.f64 (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
7.0ms
(*.f64 (-.f64 t 1) a)
9.0ms
(*.f64 (-.f64 (+.f64 y t) 2) b)

series58.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+.f64 (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
4.0ms
(*.f64 (-.f64 t 1) a)
7.0ms
(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049622020
149622020

prune115.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh000
Picked011
Done000
Total81485

Merged error: 0b

Counts
85 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt.f64 (-.f64 t 1))
0.2b
(cbrt.f64 (-.f64 t 1))
0.2b
(cbrt.f64 (-.f64 t 1))
0.2b
(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod_binary64
55×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
18×cbrt-div_binary64
16×difference-of-squares_binary64
15×add-cube-cbrt_binary64
14×swap-sqr_binary64
11×pow1_binary64
10×associate-*r*_binary64 associate-*l*_binary64
9×flip3--_binary64 pow1/3_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 115
Calls
4 calls:
3.0ms
(cbrt.f64 (-.f64 t 1))
3.0ms
(cbrt.f64 (-.f64 t 1))
3.0ms
(cbrt.f64 (-.f64 t 1))
12.0ms
(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt.f64 (-.f64 t 1))
7.0ms
(cbrt.f64 (-.f64 t 1))
7.0ms
(cbrt.f64 (-.f64 t 1))
12.0ms
(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049081307
149081307

prune170.0ms

Filtered
88 candidates to 127 candidates (-44.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
0.5b
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
0.5b
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))) (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
674×associate-*l/_binary64
528×flip3--_binary64 flip--_binary64
462×cbrt-div_binary64
396×frac-add_binary64
264×frac-sub_binary64
196×frac-times_binary64
33×flip3-+_binary64 flip-+_binary64
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
14×associate-*r/_binary64
11×pow1_binary64
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 339
Calls
4 calls:
16.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
16.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
16.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
43.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))) (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))))

series6.3s

Counts
4 → 12
Calls
4 calls:
448.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
670.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
447.0ms
(cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
4.7s
(*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))) (cbrt.f64 (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) (-.f64 (-.f64 x (*.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a)))))

simplify263.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0497451095
1497451095

prune3.1s

Filtered
230 candidates to 351 candidates (-52.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3510351
Fresh011
Picked011
Done022
Total3514355

Merged error: 0b

Counts
355 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
0.0b
(+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
0.2b
(*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)))
0.2b
(*.f64 (+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)) (*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
11×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×distribute-lft-out_binary64 associate-*r/_binary64
9×associate-*l*_binary64
8×add-log-exp_binary64 difference-of-squares_binary64
7×sub-neg_binary64 add-cube-cbrt_binary64
6×distribute-lft-out--_binary64
5×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
4×pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64 frac-times_binary64
2×associate-*l/_binary64 *-commutative_binary64
1×diff-log_binary64 unswap-sqr_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 94
Calls
4 calls:
8.0ms
(-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
8.0ms
(+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
12.0ms
(*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)))
21.0ms
(*.f64 (+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)) (*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
8.0ms
(+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))
18.0ms
(*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)))
60.0ms
(*.f64 (+.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2)) (*.f64 b (-.f64 (sqrt.f64 (+.f64 y t)) (sqrt.f64 2))))

simplify65.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049471360
149471360

prune108.0ms

Filtered
71 candidates to 106 candidates (-49.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh000
Picked011
Done033
Total1064110

Merged error: 0b

Counts
110 → 4

regimes535.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
018621
118621

end0.0ms

sample1.1s

Algorithm
intervals
Results
459.0ms7993×body80valid
253.0ms4440×body80invalid
1.0ms4×body320valid
0.0ms2×body160valid
0.0ms1×body640valid

Profiling

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