Details

Time bar (total: 2.7s)

analyze2.0ms

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

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0710
1710

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.6b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

14.6b
(/.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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify50.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05012550

prune151.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New28432
Fresh000
Picked101
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
14.5b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
14.5b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac_binary64
164×add-sqr-sqrt_binary64
162×*-un-lft-identity_binary64 add-cube-cbrt_binary64
156×sqrt-prod_binary64
27×associate-/l*_binary64
22×sqrt-div_binary64
18×associate-/r/_binary64
12×associate-/r*_binary64
11×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
9×div-inv_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64
Counts
4 → 262
Calls
4 calls:
17.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (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))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series106.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
42.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
18.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
21.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify129.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050899096

prune737.0ms

Filtered
146 candidates to 274 candidates (-87.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh033
Picked011
Done000
Total2744278

Merged error: 0b

Counts
278 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (+.f64 (*.f64 x x) 1))
14.0b
(*.f64 x (/.f64 1 (+.f64 (*.f64 x x) 1)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
20×times-frac_binary64
19×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
15×associate-*r*_binary64
12×add-exp-log_binary64
9×add-cbrt-cube_binary64
5×pow1_binary64
4×associate-/r/_binary64
3×associate-/r*_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64
2×flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
2 → 69
Calls
2 calls:
8.0ms
(/.f64 1 (+.f64 (*.f64 x x) 1))
10.0ms
(*.f64 x (/.f64 1 (+.f64 (*.f64 x x) 1)))

series44.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/.f64 1 (+.f64 (*.f64 x x) 1))
29.0ms
(*.f64 x (/.f64 1 (+.f64 (*.f64 x x) 1)))

simplify99.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049661098
149661098

prune262.0ms

Filtered
52 candidates to 75 candidates (-44.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh022
Picked011
Done011
Total75479

Merged error: 0b

Counts
79 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
14.5b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite18.0ms

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
12×add-exp-log_binary64
9×add-cbrt-cube_binary64
6×associate-/l*_binary64 div-inv_binary64
5×div-exp_binary64
4×cbrt-undiv_binary64
3×pow1_binary64
2×associate-/l/_binary64 add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×flip3-+_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 flip-+_binary64
Counts
2 → 103
Calls
2 calls:
8.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
6.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series78.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
52.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

simplify142.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
049022208
149022208

prune340.0ms

Filtered
73 candidates to 109 candidates (-49.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh101
Picked101
Done022
Total1103113

Merged error: 0b

Counts
113 → 3

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0710
1710

end0.0ms

sample294.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid

Profiling

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