Details

Time bar (total: 1.5s)

analyze3.0ms

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

sample23.0ms

Algorithm
intervals
Results
9.0ms256×pre128true
6.0ms256×body128valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013613
113613

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.8b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms

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))
9.0ms
(+.f64 a (+.f64 b (+.f64 c d)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+.f64 b (+.f64 c d))
59.0ms
(+.f64 a (+.f64 b (+.f64 c d)))

simplify54.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04893450
14893450

prune37.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.4b

Counts
39 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

2.8b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms

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:
9.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify48.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05461266

prune24.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh336
Picked011
Done000
Total171027

Merged error: 2.2b

Counts
27 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.8b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite23.0ms

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:
10.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
49.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify51.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05044819

prune33.0ms

Filtered
26 candidates to 52 candidates (-100.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh628
Picked101
Done011
Total55762

Merged error: 0.4b

Counts
62 → 7

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
12.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04992818
14992818

prune31.0ms

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 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

sample680.0ms

Algorithm
intervals
Results
300.0ms8000×pre128true
196.0ms8000×body128valid

Profiling

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