Details

Time bar (total: 2.8s)

analyze512.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms12×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01622
11622

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(+.f64 (*.f64 a c) (*.f64 b d))
25.0b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite14.0ms

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×flip3-+_binary64 associate-/r*_binary64 associate-/l*_binary64 flip-+_binary64
2×associate-/l/_binary64 pow1_binary64 associate-/r/_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 42
Calls
2 calls:
4.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
9.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
99.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050271227

prune58.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New39948
Fresh000
Picked101
Done000
Total40949

Merged error: 24.8b

Counts
49 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.f64 (*.f64 a c) (*.f64 b d))
16.1b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
29.5b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
29.5b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×times-frac_binary64 sqrt-prod_binary64
6×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
5×flip3-+_binary64 flip-+_binary64
3×associate-/l*_binary64
2×associate-/l/_binary64 pow1/2_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 84
Calls
4 calls:
4.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
10.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
121.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
25.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
27.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

simplify78.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049922326
149922326

prune85.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New90696
Fresh358
Picked101
Done000
Total9411105

Merged error: 21.8b

Counts
105 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.f64 (*.f64 a c) (*.f64 b d))
16.2b
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))))
29.5b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
29.5b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
24×associate-*r*_binary64
22×*-un-lft-identity_binary64 times-frac_binary64
20×add-cube-cbrt_binary64
17×sqrt-prod_binary64
13×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×pow1_binary64
6×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64 sqrt-div_binary64
5×unswap-sqr_binary64
4×prod-exp_binary64
3×associate-*l*_binary64
2×pow1/2_binary64 cbrt-unprod_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 94
Calls
4 calls:
4.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
16.0ms
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
123.0ms
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))))
25.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
26.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

simplify114.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049712273
149712273

prune91.0ms

Filtered
77 candidates to 106 candidates (-37.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh1910
Picked011
Done000
Total10611117

Merged error: 21.8b

Counts
117 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(+.f64 (*.f64 a c) (*.f64 b d))
0.7b
(/.f64 1 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
24.5b
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
16×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
8×div-exp_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
2×associate-/l/_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×inv-pow_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
3 → 126
Calls
3 calls:
4.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
11.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
9.0ms
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
119.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
61.0ms
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))

simplify108.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050034629

prune84.0ms

Filtered
93 candidates to 135 candidates (-45.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh099
Picked011
Done011
Total13511146

Merged error: 21.8b

Counts
146 → 11

regimes116.0ms

Accuracy

0% (3.1b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02341
12341

end0.0ms

sample569.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid
21.0ms497×body80invalid

Profiling

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