Details

Time bar (total: 873.0ms)

analyze1.0ms

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

sample9.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
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))

simplify48.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05051366

prune30.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
14.7b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
14.7b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt_binary64
76×times-frac_binary64
53×*-un-lft-identity_binary64
47×add-cube-cbrt_binary64 sqrt-prod_binary64
28×add-exp-log_binary64
24×associate-*r*_binary64 associate-*l*_binary64
18×add-cbrt-cube_binary64
15×unswap-sqr_binary64
10×sqrt-div_binary64
div-exp_binary64
pow1_binary64 prod-exp_binary64
associate-/r*_binary64 associate-/r/_binary64
flip3-+_binary64 cbrt-undiv_binary64 flip-+_binary64
add-log-exp_binary64 cbrt-unprod_binary64
associate-/l*_binary64 div-inv_binary64
pow1/2_binary64 1-exp_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 rec-exp_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 158
Calls
4 calls:
25.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify60.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049642185
149642185

prune90.0ms

Filtered
111 candidates to 170 candidates (-53.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh022
Picked011
Done011
Total1704174

Merged error: 0b

Counts
174 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
14.8b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×associate-/r*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
div-exp_binary64
associate-/l*_binary64 div-inv_binary64
cbrt-undiv_binary64
pow1_binary64
associate-/l/_binary64 add-log-exp_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
flip3-+_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 flip-+_binary64
Counts
2 → 105
Calls
2 calls:
9.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
7.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
8.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050351467

prune47.0ms

Filtered
72 candidates to 111 candidates (-54.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh101
Picked101
Done022
Total1123115

Merged error: 0b

Counts
115 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
18×times-frac_binary64
13×add-exp-log_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
distribute-lft-out_binary64
associate-/r*_binary64
rec-exp_binary64 div-inv_binary64
cosh-undef_binary64
add-cbrt-cube_binary64 associate-/l*_binary64
pow1_binary64 associate-/r/_binary64 div-exp_binary64
flip3-+_binary64 add-log-exp_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64 flip-+_binary64
Counts
1 → 45
Calls
1 calls:
9.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04792451
14792451

prune16.0ms

Filtered
25 candidates to 48 candidates (-92.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351

Merged error: 0b

Counts
51 → 3

regimes33.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms

sample251.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid

Profiling

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