Details

Time bar (total: 1.4s)

analyze11.0ms

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

sample22.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0492119
1492119

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
26×associate-*l*_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
21×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64
18×frac-times_binary64
17×sqrt-prod_binary64
16×sqrt-div_binary64
15×pow1_binary64
14×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
3×add-log-exp_binary64 *-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64
Counts
3 → 112
Calls
3 calls:
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
14.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))

series31.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
4.0ms
(*.f64 3 (*.f64 v v))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049342130
149342130

prune100.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh000
Picked011
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
18×frac-times_binary64
17×pow1_binary64 sqrt-prod_binary64
16×sqrt-div_binary64
14×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
5×add-log-exp_binary64 log-prod_binary64
4×sub-neg_binary64
3×log-pow_binary64 *-commutative_binary64
2×cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 exp-sum_binary64 difference-of-squares_binary64 div-exp_binary64
1×rem-log-exp_binary64 div-inv_binary64 exp-to-pow_binary64 exp-prod_binary64
Counts
4 → 128
Calls
4 calls:
3.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))

series53.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
11.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
14.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms
(*.f64 3 (*.f64 v v))

simplify56.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050552631

prune136.0ms

Filtered
102 candidates to 140 candidates (-37.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done011
Total1403143

Merged error: 0b

Counts
143 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))
0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))))
0.0b
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log_binary64 add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
13×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
12×associate-*r/_binary64
11×*-un-lft-identity_binary64
10×sqrt-prod_binary64
9×add-log-exp_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
8×associate-/l/_binary64 sqrt-div_binary64
7×flip3--_binary64 associate-*r*_binary64 flip--_binary64
6×pow-prod-down_binary64 cbrt-undiv_binary64 div-exp_binary64
5×unswap-sqr_binary64
4×frac-times_binary64
3×sum-log_binary64
2×flip3-+_binary64 pow1/2_binary64 associate-/r/_binary64 sqrt-pow1_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate-/r*_binary64 distribute-lft-out_binary64 sqrt-unprod_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 +-commutative_binary64 associate-+r+_binary64
Counts
4 → 100
Calls
4 calls:
8.0ms
(+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))
27.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))))
8.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))

series36.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))
20.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) 1))))
8.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
4.0ms
(*.f64 3 (*.f64 v v))

simplify70.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049261951
149261951

prune101.0ms

Filtered
73 candidates to 112 candidates (-53.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0b

Counts
115 → 3

regimes47.0ms

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
05521
15521

end0.0ms

sample478.0ms

Algorithm
intervals
Results
386.0ms8000×body80valid
0.0ms1×body80nan

Profiling

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