Details

Time bar (total: 1.2s)

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

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0910
1910

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.5b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

15.5b
(/.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))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify75.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04990550
14990550

prune34.0ms

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

localize8.0ms

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)))
15.4b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
15.4b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite27.0ms

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)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
30.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
17.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
19.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify84.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049122284
149122284

prune104.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done000
Total1304134

Merged error: 0b

Counts
134 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
15.4b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite19.0ms

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
9×add-cbrt-cube_binary64
8×div-exp_binary64
6×associate-/l*_binary64 div-inv_binary64
4×cbrt-undiv_binary64
3×pow1_binary64
2×associate-/l/_binary64 add-log-exp_binary64 1-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 → 105
Calls
2 calls:
8.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
6.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series70.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
45.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049042232
149042232

prune68.0ms

Filtered
71 candidates to 111 candidates (-56.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh112
Picked101
Done011
Total1123115

Merged error: 0b

Counts
115 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 1 x))
0.1b
(/.f64 1 (+.f64 x (/.f64 1 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64
18×times-frac_binary64
16×add-exp-log_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×distribute-lft-out_binary64
6×associate-/r*_binary64 rec-exp_binary64 div-inv_binary64
5×cosh-undef_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow1_binary64 associate-/l*_binary64
2×flip3-+_binary64 associate-/r/_binary64 div-exp_binary64 flip-+_binary64
1×1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
2 → 59
Calls
2 calls:
6.0ms
(+.f64 x (/.f64 1 x))
8.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+.f64 x (/.f64 1 x))
17.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04930836
14930836

prune30.0ms

Filtered
36 candidates to 65 candidates (-80.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done011
Total65368

Merged error: 0b

Counts
68 → 3

regimes17.0ms

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
0910
1910

end0.0ms

sample247.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid

Profiling

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