Details

Time bar (total: 1.3s)

analyze3.0ms

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

sample24.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01359
11359

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.7b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64
Counts
2 → 32
Calls
2 calls:
6.0ms
(+.f64 b (+.f64 c d))
8.0ms
(+.f64 a (+.f64 b (+.f64 c d)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+.f64 b (+.f64 c d))
10.0ms
(+.f64 a (+.f64 b (+.f64 c d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04924307
14924307

prune78.0ms

Filtered
24 candidates to 38 candidates (-58.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30838
Fresh000
Picked101
Done000
Total31839

Merged error: 2.1b

Counts
39 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64
Counts
1 → 17
Calls
1 calls:
8.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify37.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05390181

prune77.0ms

Filtered
14 candidates to 20 candidates (-42.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New13720
Fresh527
Picked011
Done000
Total181028

Merged error: 1.9b

Counts
28 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.7b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
18×distribute-lft-out_binary64 cbrt-prod_binary64
11×add-log-exp_binary64
unpow-prod-down_binary64 cube-prod_binary64 sum-log_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-div_binary64 flip3-+_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64 flip-+_binary64
rem-cbrt-cube_binary64 pow1/3_binary64 sqr-pow_binary64 +-commutative_binary64 associate-+r+_binary64 unpow3_binary64 cube-mult_binary64
Counts
2 → 46
Calls
2 calls:
11.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify71.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04891545
14891545

prune58.0ms

Filtered
25 candidates to 52 candidates (-108.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh538
Picked101
Done011
Total55762

Merged error: 0.4b

Counts
62 → 7

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64
20×cbrt-prod_binary64
16×distribute-lft-out_binary64
unpow-prod-down_binary64 cube-prod_binary64
cbrt-div_binary64 cube-div_binary64
flip3-+_binary64 flip-+_binary64
frac-add_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 sqr-pow_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 unpow3_binary64 cube-mult_binary64
Counts
1 → 35
Calls
1 calls:
10.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series14.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify25.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05281551

prune36.0ms

Filtered
21 candidates to 38 candidates (-81.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh505
Picked101
Done101
Total44145

Merged error: 0b

Counts
45 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1139

end0.0ms

sample681.0ms

Algorithm
intervals
Results
302.0ms8000×pre80true
201.0ms8000×body80valid

Profiling

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