Details

Time bar (total: 2.8s)

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)

sample24.0ms (0.9%)

Algorithm
intervals
Results
10.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify102.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_1783 add-log-exp_binary64_1822
distribute-lft-out_binary64_1734 sum-log_binary64_1874
associate-+r+_binary64_1715 add-cbrt-cube_binary64_1819 +-commutative_binary64_1713 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 flip-+_binary64_1757 flip3-+_binary64_1786 pow1_binary64_1844
Counts
2 → 32
Calls

2 calls:

9.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 b (+.f64 c d))

series41.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

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

simplify53.0ms (1.9%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04960450
14960450

prune43.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30838
Fresh000
Picked101
Done000
Total31839

Merged error: 2.3b

Counts
39 → 8
Compiler

Compiled 644 to 270 computations (58.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_1783 add-log-exp_binary64_1822
distribute-lft-out_binary64_1734 sum-log_binary64_1874
associate-+r+_binary64_1715 add-cbrt-cube_binary64_1819 +-commutative_binary64_1713 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 flip-+_binary64_1757 flip3-+_binary64_1786 pow1_binary64_1844
Counts
1 → 17
Calls

1 calls:

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

series27.0ms (1%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify72.0ms (2.6%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04925266
14925266

prune26.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New13720
Fresh527
Picked011
Done000
Total181028

Merged error: 2.1b

Counts
28 → 10
Compiler

Compiled 454 to 201 computations (55.7% 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)))

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_1783
18×distribute-lft-out_binary64_1734 cbrt-prod_binary64_1814
11×add-log-exp_binary64_1822
unpow-prod-down_binary64_1862 sum-log_binary64_1874 cube-prod_binary64_1811
add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 flip-+_binary64_1757 cbrt-div_binary64_1815 flip3-+_binary64_1786 cube-div_binary64_1812 pow1_binary64_1844
associate-+r+_binary64_1715 +-commutative_binary64_1713 sqr-pow_binary64_1755 rem-cbrt-cube_binary64_1807 cube-mult_binary64_1813 unpow3_binary64_1849 pow1/3_binary64_1865
Counts
2 → 46
Calls

2 calls:

10.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series70.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

44.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
26.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify65.0ms (2.3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04984819
14984819

prune49.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh538
Picked101
Done011
Total55762

Merged error: 0.4b

Counts
62 → 7
Compiler

Compiled 986 to 400 computations (59.4% 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))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_1783
20×cbrt-prod_binary64_1814
16×distribute-lft-out_binary64_1734
unpow-prod-down_binary64_1862 cube-prod_binary64_1811
cbrt-div_binary64_1815 cube-div_binary64_1812
flip-+_binary64_1757 flip3-+_binary64_1786
add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818 frac-add_binary64_1791
add-cbrt-cube_binary64_1819 sqr-pow_binary64_1755 rem-cbrt-cube_binary64_1807 add-exp-log_binary64_1821 cube-mult_binary64_1813 unpow3_binary64_1849 pow1/3_binary64_1865 add-log-exp_binary64_1822 pow1_binary64_1844
Counts
1 → 35
Calls

1 calls:

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

series38.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify50.0ms (1.8%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04982818
14982818

prune39.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh505
Picked101
Done101
Total44145

Merged error: 0b

Counts
45 → 1
Compiler

Compiled 700 to 249 computations (64.4% saved)

regimes616.0ms (21.9%)

Compiler

Compiled 6837 to 4818 computations (29.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample1.4s (49.6%)

Algorithm
intervals
Results
312.0ms8000×pre128true
209.0ms8000×body128valid
Compiler

Compiled 819 to 584 computations (28.7% saved)

Profiling

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