Details

Time bar (total: 1.3s)

analyze53.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify191.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (188.0ms)

IterNodesCost
0311111
1311111

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
0.2b
(/.f64 (*.f64 x y) 2)
5.2b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
19×add-sqr-sqrt_binary64
16×times-frac_binary64
14×add-cube-cbrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64
add-log-exp_binary64
distribute-lft-out_binary64 associate-/l*_binary64
pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 flip--_binary64 flip-+_binary64
Counts
3 → 68
Calls
3 calls:
11.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
5.0ms
(/.f64 (*.f64 x y) 2)
7.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
7.0ms
(/.f64 (*.f64 x y) 2)
17.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify76.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04908933
14908933

prune49.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh000
Picked011
Done000
Total75378

Merged error: 0.0b

Counts
78 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)))
0.1b
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
0.2b
(/.f64 (*.f64 y x) 2)
5.2b
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac_binary64
101×*-un-lft-identity_binary64
78×add-sqr-sqrt_binary64
64×add-cube-cbrt_binary64
22×associate-/r*_binary64 add-exp-log_binary64
16×distribute-lft-out_binary64 add-cbrt-cube_binary64
10×div-exp_binary64
associate-/l*_binary64 div-inv_binary64
add-log-exp_binary64 cbrt-undiv_binary64
pow1_binary64 difference-of-squares_binary64
clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64 1-exp_binary64 rec-exp_binary64 distribute-lft-out--_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 associate-/r/_binary64 inv-pow_binary64 prod-exp_binary64 flip--_binary64 pow-flip_binary64 flip-+_binary64
Counts
4 → 160
Calls
4 calls:
20.0ms
(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)))
10.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
5.0ms
(/.f64 (*.f64 y x) 2)
8.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

series33.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)))
13.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
4.0ms
(/.f64 (*.f64 y x) 2)
8.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050042517

prune80.0ms

Filtered
105 candidates to 172 candidates (-63.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh011
Picked011
Done011
Total1723175

Merged error: 0.0b

Counts
175 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 (*.f64 y x) 2)))
0.1b
(*.f64 y (/.f64 (*.f64 y x) 2))
0.2b
(/.f64 (*.f64 y x) 2)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64
times-frac_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 associate-*l*_binary64
div-inv_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 59
Calls
3 calls:
4.0ms
(+.f64 x (*.f64 y (/.f64 (*.f64 y x) 2)))
7.0ms
(*.f64 y (/.f64 (*.f64 y x) 2))
5.0ms
(/.f64 (*.f64 y x) 2)

series22.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+.f64 x (*.f64 y (/.f64 (*.f64 y x) 2)))
5.0ms
(*.f64 y (/.f64 (*.f64 y x) 2))
4.0ms
(/.f64 (*.f64 y x) 2)

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05168548

prune26.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371

Merged error: 0.0b

Counts
71 → 3

regimes72.0ms

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
02811
12811

end0.0ms

sample427.0ms

Algorithm
intervals
Results
289.0ms7999×body80valid
0.0msbody2560valid

Profiling

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