Details

Time bar (total: 955.0ms)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

11.5b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 29
Calls
1 calls:
6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify62.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05051366

prune44.0ms

Filtered
26 candidates to 32 candidates (-23.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.5b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
11.5b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
30×sqrt-prod_binary64
12×associate-/r*_binary64
10×add-exp-log_binary64
8×pow1_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
6×associate-/l*_binary64
4×flip3-+_binary64 add-log-exp_binary64 associate-/r/_binary64 flip-+_binary64
3×pow1/2_binary64 sqrt-pow1_binary64 div-exp_binary64 pow-flip_binary64
2×cbrt-undiv_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
1×1-exp_binary64 inv-pow_binary64 rec-exp_binary64
Counts
4 → 118
Calls
4 calls:
7.0ms
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify62.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049011477
149011477

prune111.0ms

Filtered
88 candidates to 130 candidates (-47.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done011
Total1303133

Merged error: 0b

Counts
133 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 1 (pow.f64 x 5))
0.3b
(pow.f64 (/.f64 1 x) 3)
22.8b
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
46×*-un-lft-identity_binary64
43×times-frac_binary64
34×add-cube-cbrt_binary64
28×unpow-prod-down_binary64
17×add-exp-log_binary64
16×cube-prod_binary64
8×add-log-exp_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 div-exp_binary64
7×associate-/r*_binary64 div-inv_binary64 pow-exp_binary64
6×sqr-pow_binary64
5×pow1_binary64 distribute-lft-out--_binary64
4×pow-to-exp_binary64 distribute-lft-out_binary64 1-exp_binary64 cube-div_binary64 rec-exp_binary64
3×pow-unpow_binary64 pow-pow_binary64 associate-/l*_binary64 frac-sub_binary64
2×diff-log_binary64 cbrt-undiv_binary64 inv-pow_binary64 rem-cube-cbrt_binary64 pow-flip_binary64
1×flip3-+_binary64 sub-neg_binary64 flip3--_binary64 frac-add_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 flip-+_binary64 unpow3_binary64 associate--l+_binary64 sum-log_binary64 cube-mult_binary64
Counts
3 → 132
Calls
3 calls:
5.0ms
(/.f64 1 (pow.f64 x 5))
5.0ms
(pow.f64 (/.f64 1 x) 3)
41.0ms
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/.f64 1 (pow.f64 x 5))
4.0ms
(pow.f64 (/.f64 1 x) 3)
4.0ms
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

simplify66.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050631533

prune85.0ms

Filtered
61 candidates to 141 candidates (-131.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144

Merged error: 0b

Counts
144 → 3

regimes72.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.7b

bsearch21.0ms

Steps
ItersRangePoint
9
1.4672649391087504
1944437482.6345696
428.9164500621042
9
-543012.6644282457
-0.028529582799480736
-530617.2359923135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03431
13431

end0.0ms

sample261.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid

Profiling

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