Details

Time bar (total: 1.7s)

analyze257.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14

sample18.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms14×body80invalid

simplify428.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0135
1135

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 21
Calls
1 calls:
9.0ms
(*.f64 (+.f64 x y) z)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(*.f64 (+.f64 x y) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05624151

prune15.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh000
Picked011
Done000
Total23225

Merged error: 0.0b

Counts
25 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

2.2b
(-.f64 (*.f64 x x) (*.f64 y y))
8.3b
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
16.8b
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 times-frac_binary64
flip3--_binary64 associate-*r*_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
sub-neg_binary64 associate-*l*_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 64
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
7.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
11.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

series55.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
22.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
26.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05081741

prune27.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh000
Picked101
Done011
Total73275

Merged error: 0b

Counts
75 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.f64 1 (/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))))
2.2b
(-.f64 (*.f64 x x) (*.f64 y y))
8.3b
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
16.1b
(/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac_binary64
42×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
32×add-exp-log_binary64
28×add-cube-cbrt_binary64
20×add-cbrt-cube_binary64
14×div-exp_binary64
12×associate-/r*_binary64 associate-*r/_binary64
11×associate-/r/_binary64
flip3--_binary64 difference-of-squares_binary64 associate-/l*_binary64 flip--_binary64
pow1_binary64 cbrt-undiv_binary64
add-log-exp_binary64 distribute-lft-out--_binary64 div-inv_binary64
prod-exp_binary64
associate-*r*_binary64
sub-neg_binary64 cbrt-unprod_binary64 1-exp_binary64 associate-*l*_binary64 rec-exp_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 div-sub_binary64 inv-pow_binary64 pow-flip_binary64 *-commutative_binary64
Counts
4 → 137
Calls
4 calls:
13.0ms
(/.f64 1 (/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))))
5.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
7.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
11.0ms
(/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/.f64 1 (/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))))
6.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
19.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
19.0ms
(/.f64 (-.f64 x y) (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050202163

prune51.0ms

Filtered
94 candidates to 149 candidates (-58.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done011
Total1492151

Merged error: 0b

Counts
151 → 2

regimes142.0ms

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
075
175

end0.0ms

sample344.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid
11.0ms595×body80invalid

Profiling

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