Details

Time bar (total: 964.0ms)

analyze1.0ms

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

sample10.0ms

Algorithm
intervals
Results
5.0ms256×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: 18.5b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) 1)
18.5b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
4×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×flip3-+_binary64 pow1_binary64 associate-/r/_binary64 flip-+_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 40
Calls
2 calls:
4.0ms
(+.f64 (*.f64 x x) 1)
6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+.f64 (*.f64 x x) 1)
6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify42.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05032461

prune59.0ms

Filtered
36 candidates to 46 candidates (-27.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42446
Fresh000
Picked101
Done000
Total43447

Merged error: 0b

Counts
47 → 4

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)))
18.4b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
18.4b
(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))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/.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))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049011477
149011477

prune114.0ms

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

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) 1)
0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
18.5b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
53×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×associate-/r*_binary64 add-exp-log_binary64
10×add-cbrt-cube_binary64
8×div-exp_binary64
6×associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
2×flip3-+_binary64 associate-/l/_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64 flip-+_binary64
1×associate-/r/_binary64 inv-pow_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
3 → 116
Calls
3 calls:
5.0ms
(+.f64 (*.f64 x x) 1)
8.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
6.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+.f64 (*.f64 x x) 1)
6.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
10.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054841562

prune89.0ms

Filtered
82 candidates to 125 candidates (-52.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh202
Picked101
Done011
Total1272129

Merged error: 0b

Counts
129 → 2

localize4.0ms

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
8×distribute-lft-out_binary64
6×associate-/r*_binary64
5×rec-exp_binary64 div-inv_binary64
4×cosh-undef_binary64
3×add-cbrt-cube_binary64 associate-/l*_binary64
2×pow1_binary64 associate-/r/_binary64 div-exp_binary64
1×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:
8.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

series4.0ms

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

simplify69.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04792451
14792451

prune28.0ms

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

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done011
Total48250

Merged error: 0b

Counts
50 → 2

regimes24.0ms

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

sample248.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid

Profiling

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