Details

Time bar (total: 2.9s)

analyze3.0ms (0.1%)

Algorithm
1×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
1×intervals
Results
10.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify101.0ms (3.5%)

Algorithm
1×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
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))
3.0b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_2806 add-log-exp_binary64_2845
9×distribute-lft-out_binary64_2757 sum-log_binary64_2897
2×add-sqr-sqrt_binary64_2828 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-+r+_binary64_2738 flip-+_binary64_2780 add-cube-cbrt_binary64_2841 flip3-+_binary64_2809 pow1_binary64_2867 +-commutative_binary64_2736
Counts
2 → 32
Calls

2 calls:

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

series41.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
15.0ms
(+.f64 b (+.f64 c d))

simplify57.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04960450
14960450

prune44.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30838
Fresh000
Picked101
Done000
Total31839
Error
2.4b
Counts
39 → 8
Compiler

Compiled 644 to 270 computations (58.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

3.0b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_2806 add-log-exp_binary64_2845
6×distribute-lft-out_binary64_2757 sum-log_binary64_2897
1×add-sqr-sqrt_binary64_2828 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-+r+_binary64_2738 flip-+_binary64_2780 add-cube-cbrt_binary64_2841 flip3-+_binary64_2809 pow1_binary64_2867 +-commutative_binary64_2736
Counts
1 → 17
Calls

1 calls:

9.0ms
(+.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))

simplify80.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04925266
14925266

prune24.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New13720
Fresh527
Picked011
Done000
Total181028
Error
2.2b
Counts
28 → 10
Compiler

Compiled 457 to 207 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))
3.0b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite21.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2806
18×distribute-lft-out_binary64_2757 cbrt-prod_binary64_2837
11×add-log-exp_binary64_2845
6×cube-prod_binary64_2834 unpow-prod-down_binary64_2885 sum-log_binary64_2897
5×add-sqr-sqrt_binary64_2828 add-cube-cbrt_binary64_2841
2×cbrt-div_binary64_2838 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 flip-+_binary64_2780 flip3-+_binary64_2809 cube-div_binary64_2835 pow1_binary64_2867
1×pow1/3_binary64_2888 unpow3_binary64_2872 associate-+r+_binary64_2738 sqr-pow_binary64_2778 cube-mult_binary64_2836 rem-cbrt-cube_binary64_2830 +-commutative_binary64_2736
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)))

series69.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
26.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify67.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04984819
14984819

prune49.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh628
Picked101
Done011
Total56662
Error
0.4b
Counts
62 → 6
Compiler

Compiled 949 to 384 computations (59.5% 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 (0.5%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2806
20×cbrt-prod_binary64_2837
16×distribute-lft-out_binary64_2757
7×cube-prod_binary64_2834 unpow-prod-down_binary64_2885
6×cbrt-div_binary64_2838 cube-div_binary64_2835
5×flip-+_binary64_2780 flip3-+_binary64_2809
4×add-sqr-sqrt_binary64_2828 frac-add_binary64_2814 add-cube-cbrt_binary64_2841
1×add-exp-log_binary64_2844 pow1/3_binary64_2888 add-cbrt-cube_binary64_2842 unpow3_binary64_2872 add-log-exp_binary64_2845 sqr-pow_binary64_2778 cube-mult_binary64_2836 rem-cbrt-cube_binary64_2830 pow1_binary64_2867
Counts
1 → 35
Calls

1 calls:

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

series39.0ms (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
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04982818
14982818

prune40.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh404
Picked101
Done101
Total43144
Error
0b
Counts
44 → 1
Compiler

Compiled 700 to 249 computations (64.4% saved)

regimes667.0ms (22.9%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 7293 to 5074 computations (30.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample1.4s (49.3%)

Algorithm
1×intervals
Results
326.0ms8000×pre128true
219.0ms8000×body128valid
Compiler

Compiled 882 to 619 computations (29.8% saved)

Profiling

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