Details

Time bar (total: 1.3s)

analyze75.0ms

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
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms6×body80nan

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
079
179

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

20.8b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt_binary64 sqrt-prod_binary64
2×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64
Counts
1 → 15
Calls
1 calls:
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify71.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04957244
14957244

prune16.0ms

Filtered
15 candidates to 18 candidates (-20.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0b

Counts
19 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
20.8b
(sqrt.f64 (+.f64 (*.f64 x x) y))
35.3b
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
15×add-sqr-sqrt_binary64 sqrt-prod_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×unpow-prod-down_binary64 cube-prod_binary64
6×pow1_binary64 sqrt-div_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
3×flip3-+_binary64 pow-unpow_binary64 add-log-exp_binary64 pow-pow_binary64 flip-+_binary64
2×cbrt-div_binary64 pow1/2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 pow1/3_binary64 rem-sqrt-square_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
Counts
3 → 78
Calls
3 calls:
6.0ms
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
6.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

series86.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
28.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
27.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

simplify96.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049691284
149691284

prune35.0ms

Filtered
49 candidates to 87 candidates (-77.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done011
Total87491

Merged error: 0b

Counts
91 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1_binary64 associate-*l*_binary64
2×cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
1 → 32
Calls
1 calls:
7.0ms
(*.f64 y (/.f64 -1/2 x))

series17.0ms

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

simplify132.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
04989348
14989348

prune18.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done022
Total35439

Merged error: 0b

Counts
39 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 y x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1_binary64 associate-*l*_binary64
2×cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
1 → 32
Calls
1 calls:
7.0ms
(*.f64 1/2 (/.f64 y x))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(*.f64 1/2 (/.f64 y x))

simplify134.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (122.0ms)

IterNodesCost
05014347

prune18.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done033
Total35439

Merged error: 0b

Counts
39 → 4

regimes94.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.6b

bsearch24.0ms

Steps
ItersRangePoint
8
1.2725687550786242e+143
1.391593373510938e+147
3.000638745063842e+143
9
-1.0006086444910523e+157
-8.437067760353458e+148
-1.3497937074470854e+154

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03541
13541

end0.0ms

sample353.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid
4.0ms165×body80nan

Profiling

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