Details

Time bar (total: 1.4s)

analyze35.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true
0.0mspre80false

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0490317
1490317

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: 15.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
0.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
15.1b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-log-exp_binary64
pow1_binary64 associate-/l*_binary64 times-frac_binary64
difference-of-squares_binary64 sqrt-prod_binary64
associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
associate-/r*_binary64 sub-neg_binary64 pow1/2_binary64 diff-log_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
3 → 51
Calls
3 calls:
4.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
8.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
40.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
40.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

simplify87.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05021994

prune42.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New59160
Fresh000
Picked101
Done000
Total60161

Merged error: 0b

Counts
61 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
0.0b
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
0.1b
(*.f64 b (/.f64 b a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac_binary64
62×add-sqr-sqrt_binary64
56×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×add-exp-log_binary64
15×associate-/r*_binary64
13×associate-*r*_binary64 add-cbrt-cube_binary64
associate-/r/_binary64
div-exp_binary64
pow1_binary64
div-inv_binary64
flip3--_binary64 cbrt-undiv_binary64 flip--_binary64
add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 sqrt-prod_binary64
cbrt-unprod_binary64 1-exp_binary64 unswap-sqr_binary64 prod-exp_binary64 rec-exp_binary64
pow-prod-down_binary64 pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64 *-commutative_binary64
Counts
3 → 129
Calls
3 calls:
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
8.0ms
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
7.0ms
(*.f64 b (/.f64 b a))

series85.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
37.0ms
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
15.0ms
(*.f64 b (/.f64 b a))

simplify105.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049922938
149922938

prune81.0ms

Filtered
87 candidates to 138 candidates (-58.6%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done000
Total1381139

Merged error: 0b

Counts
139 → 1

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04020
14020

end0.0ms

sample701.0ms

Algorithm
intervals
Results
409.0ms8000×body80valid
142.0ms8000×pre80true
3.0ms138×pre80false

Profiling

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