Details

Time bar (total: 4.0s)

analyze526.0ms

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

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body128valid
0.0ms13×body128invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01622
11622

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.1b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

23.6b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite13.0ms

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×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 flip-+_binary64
1×add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 31
Calls
1 calls:
9.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

series186.0ms

Counts
1 → 3
Calls
1 calls:
186.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

simplify52.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050061019

prune55.0ms

Filtered
27 candidates to 34 candidates (-25.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 23.4b

Counts
35 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
13.8b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
27.9b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
27.9b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite90.0ms

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×flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
9×div-inv_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
3×associate-/l/_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 264
Calls
4 calls:
24.0ms
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
11.0ms
(/.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)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
243.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
42.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
47.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

simplify164.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0496813578
1496813578

prune174.0ms

Filtered
150 candidates to 276 candidates (-84.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2715276
Fresh347
Picked011
Done000
Total27410284

Merged error: 21.4b

Counts
284 → 10

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
23.4b
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
54×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
12×add-exp-log_binary64
11×associate-/r/_binary64
9×add-cbrt-cube_binary64
6×flip3-+_binary64 associate-/l*_binary64 div-inv_binary64 flip-+_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×inv-pow_binary64 pow-flip_binary64
Counts
2 → 113
Calls
2 calls:
12.0ms
(/.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)))

series377.0ms

Counts
2 → 6
Calls
2 calls:
256.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
120.0ms
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))

simplify93.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049904373
149904373

prune90.0ms

Filtered
82 candidates to 119 candidates (-45.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh178
Picked011
Done011
Total11910129

Merged error: 21.4b

Counts
129 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))))
0.3b
(/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
23.6b
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac_binary64
254×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
68×associate-/r*_binary64
40×associate-/r/_binary64
36×add-exp-log_binary64
23×div-inv_binary64
19×add-cbrt-cube_binary64
18×flip3-+_binary64 div-exp_binary64 flip-+_binary64
11×rec-exp_binary64
10×cbrt-undiv_binary64
9×associate-/l*_binary64
6×pow1_binary64
5×pow-flip_binary64
3×add-log-exp_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64
2×associate-/l/_binary64
1×remove-double-div_binary64
Counts
3 → 345
Calls
3 calls:
12.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))))
21.0ms
(/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
10.0ms
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))

series374.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))))
151.0ms
(/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
137.0ms
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))

simplify169.0ms

Algorithm
egg-herbie
Counts
354 → 354
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0507514200

prune201.0ms

Filtered
180 candidates to 354 candidates (-96.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3531354
Fresh167
Picked101
Done022
Total3559364

Merged error: 21.4b

Counts
364 → 9

regimes120.0ms

Accuracy

13.2% (2.6b remaining)

Error of 25.9b against oracle of 23.3b and baseline of 26.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03982
13982

end0.0ms

sample557.0ms

Algorithm
intervals
Results
318.0ms8000×body128valid
23.0ms529×body128invalid

Profiling

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