Details

Time bar (total: 3.0s)

analyze3.0ms (0.1%)

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

Compiled 26 to 22 computations (15.4% saved)

sample25.0ms (0.9%)

Algorithm
intervals
Results
10.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify100.0ms (3.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013613
113613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(+.f64 b (+.f64 c d))
2.8b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_2465 add-log-exp_binary64_2504
sum-log_binary64_2556 distribute-lft-out_binary64_2416
flip3-+_binary64_2468 +-commutative_binary64_2395 flip-+_binary64_2439 add-cube-cbrt_binary64_2500 add-exp-log_binary64_2503 add-sqr-sqrt_binary64_2487 add-cbrt-cube_binary64_2501 associate-+r+_binary64_2397 pow1_binary64_2526
Counts
2 → 32
Calls

2 calls:

8.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
(+.f64 b (+.f64 c d))

series42.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
13.0ms
(+.f64 b (+.f64 c d))

simplify54.0ms (1.8%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04960450
14960450

prune43.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.4b

Counts
39 → 7
Compiler

Compiled 633 to 259 computations (59.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_2465 add-log-exp_binary64_2504
sum-log_binary64_2556 distribute-lft-out_binary64_2416
flip3-+_binary64_2468 +-commutative_binary64_2395 flip-+_binary64_2439 add-cube-cbrt_binary64_2500 add-exp-log_binary64_2503 add-sqr-sqrt_binary64_2487 add-cbrt-cube_binary64_2501 associate-+r+_binary64_2397 pow1_binary64_2526
Counts
1 → 17
Calls

1 calls:

8.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series26.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

26.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify71.0ms (2.4%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04925266
14925266

prune27.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh246
Picked011
Done000
Total161127

Merged error: 2.1b

Counts
27 → 11
Compiler

Compiled 486 to 220 computations (54.7% saved)

localize9.0ms (0.3%)

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)))

rewrite21.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2465
18×distribute-lft-out_binary64_2416 cbrt-prod_binary64_2496
11×add-log-exp_binary64_2504
sum-log_binary64_2556 cube-prod_binary64_2493 unpow-prod-down_binary64_2544
add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
flip3-+_binary64_2468 flip-+_binary64_2439 cbrt-div_binary64_2497 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 pow1_binary64_2526 cube-div_binary64_2494
unpow3_binary64_2531 +-commutative_binary64_2395 cube-mult_binary64_2495 pow1/3_binary64_2547 sqr-pow_binary64_2437 associate-+r+_binary64_2397 rem-cbrt-cube_binary64_2489
Counts
2 → 46
Calls

2 calls:

9.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series66.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

40.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
26.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04984819
14984819

prune54.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh729
Picked101
Done011
Total55863

Merged error: 0.4b

Counts
63 → 8
Compiler

Compiled 1005 to 419 computations (58.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2465
20×cbrt-prod_binary64_2496
16×distribute-lft-out_binary64_2416
cube-prod_binary64_2493 unpow-prod-down_binary64_2544
cbrt-div_binary64_2497 cube-div_binary64_2494
flip3-+_binary64_2468 flip-+_binary64_2439
add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 frac-add_binary64_2473
add-log-exp_binary64_2504 unpow3_binary64_2531 add-exp-log_binary64_2503 cube-mult_binary64_2495 pow1/3_binary64_2547 add-cbrt-cube_binary64_2501 sqr-pow_binary64_2437 pow1_binary64_2526 rem-cbrt-cube_binary64_2489
Counts
1 → 35
Calls

1 calls:

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

series40.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify52.0ms (1.8%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04982818
14982818

prune41.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh606
Picked101
Done101
Total45146

Merged error: 0b

Counts
46 → 1
Compiler

Compiled 700 to 249 computations (64.4% saved)

regimes691.0ms (23.4%)

Compiler

Compiled 7741 to 5282 computations (31.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample1.5s (49.4%)

Algorithm
intervals
Results
324.0ms8000×pre128true
217.0ms8000×body128valid
Compiler

Compiled 932 to 642 computations (31.1% saved)

Profiling

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