Details

Time bar (total: 2.2s)

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 (1.1%)

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

Compiled 35 to 35 computations (0% saved)

simplify168.0ms (7.5%)

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: 4.0b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b
(+.f64 b (+.f64 c d))
3.1b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_2487 add-log-exp_binary64_2526
distribute-lft-out_binary64_2438 sum-log_binary64_2578
add-exp-log_binary64_2525 add-cube-cbrt_binary64_2522 flip-+_binary64_2461 +-commutative_binary64_2417 flip3-+_binary64_2490 add-cbrt-cube_binary64_2523 pow1_binary64_2548 associate-+r+_binary64_2419 add-sqr-sqrt_binary64_2509
Counts
2 → 32
Calls

2 calls:

10.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 b (+.f64 c d))

series77.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
26.0ms
(+.f64 b (+.f64 c d))

simplify54.0ms (2.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04956450
14956450

prune176.0ms (7.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.7b

Counts
39 → 7
Compiler

Compiled 2822 to 1803 computations (36.1% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

3.1b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_2487 add-log-exp_binary64_2526
distribute-lft-out_binary64_2438 sum-log_binary64_2578
add-exp-log_binary64_2525 add-cube-cbrt_binary64_2522 flip-+_binary64_2461 +-commutative_binary64_2417 flip3-+_binary64_2490 add-cbrt-cube_binary64_2523 pow1_binary64_2548 associate-+r+_binary64_2419 add-sqr-sqrt_binary64_2509
Counts
1 → 17
Calls

1 calls:

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

series58.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify74.0ms (3.3%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05049266

prune100.0ms (4.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh336
Picked011
Done000
Total171027

Merged error: 2.3b

Counts
27 → 10
Compiler

Compiled 1748 to 1029 computations (41.1% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
3.1b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite24.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2487
18×cbrt-prod_binary64_2518 distribute-lft-out_binary64_2438
11×add-log-exp_binary64_2526
unpow-prod-down_binary64_2566 sum-log_binary64_2578 cube-prod_binary64_2515
add-cube-cbrt_binary64_2522 add-sqr-sqrt_binary64_2509
add-exp-log_binary64_2525 cbrt-div_binary64_2519 flip-+_binary64_2461 flip3-+_binary64_2490 add-cbrt-cube_binary64_2523 pow1_binary64_2548 cube-div_binary64_2516
unpow3_binary64_2553 rem-cbrt-cube_binary64_2511 pow1/3_binary64_2569 +-commutative_binary64_2417 cube-mult_binary64_2517 sqr-pow_binary64_2459 associate-+r+_binary64_2419
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)))

series123.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
57.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify70.0ms (3.1%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04984819
14984819

prune164.0ms (7.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh628
Picked101
Done011
Total54862

Merged error: 0.4b

Counts
62 → 8
Compiler

Compiled 3062 to 1741 computations (43.1% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2487
20×cbrt-prod_binary64_2518
16×distribute-lft-out_binary64_2438
unpow-prod-down_binary64_2566 cube-prod_binary64_2515
cbrt-div_binary64_2519 cube-div_binary64_2516
flip-+_binary64_2461 flip3-+_binary64_2490
add-cube-cbrt_binary64_2522 add-sqr-sqrt_binary64_2509 frac-add_binary64_2495
add-exp-log_binary64_2525 unpow3_binary64_2553 rem-cbrt-cube_binary64_2511 pow1/3_binary64_2569 add-cbrt-cube_binary64_2523 cube-mult_binary64_2517 pow1_binary64_2548 add-log-exp_binary64_2526 sqr-pow_binary64_2459
Counts
1 → 35
Calls

1 calls:

11.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series72.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

72.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify53.0ms (2.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04982818
14982818

prune108.0ms (4.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh606
Picked101
Done101
Total45146

Merged error: 0b

Counts
46 → 1
Compiler

Compiled 1821 to 1073 computations (41.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01918
11918

end0.0ms (0%)

sample820.0ms (36.5%)

Algorithm
intervals
Results
314.0ms8000×pre128true
222.0ms8000×body128valid
Compiler

Compiled 61 to 61 computations (0% saved)

Profiling

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