Details

Time bar (total: 2.3s)

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)

sample26.0ms (1.1%)

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

Compiled 35 to 35 computations (0% saved)

simplify172.0ms (7.6%)

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

Merged error: 3.7b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b
(+.f64 b (+.f64 c d))
2.9b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
16×add-log-exp_binary64_2870 *-un-lft-identity_binary64_2831
9×distribute-lft-out_binary64_2782 sum-log_binary64_2922
2×pow1_binary64_2892 add-cube-cbrt_binary64_2866 flip3-+_binary64_2834 add-cbrt-cube_binary64_2867 +-commutative_binary64_2761 add-sqr-sqrt_binary64_2853 add-exp-log_binary64_2869 flip-+_binary64_2805 associate-+r+_binary64_2763
Counts
2 → 32
Calls

2 calls:

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

series79.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

55.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
24.0ms
(+.f64 b (+.f64 c d))

simplify58.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04956450
14956450

prune163.0ms (7.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.5b

Counts
39 → 7
Compiler

Compiled 2776 to 1757 computations (36.7% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.9b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
10×add-log-exp_binary64_2870 *-un-lft-identity_binary64_2831
6×distribute-lft-out_binary64_2782 sum-log_binary64_2922
1×pow1_binary64_2892 add-cube-cbrt_binary64_2866 flip3-+_binary64_2834 add-cbrt-cube_binary64_2867 +-commutative_binary64_2761 add-sqr-sqrt_binary64_2853 add-exp-log_binary64_2869 flip-+_binary64_2805 associate-+r+_binary64_2763
Counts
1 → 17
Calls

1 calls:

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

series59.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

59.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify75.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05049266

prune98.0ms (4.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New13720
Fresh336
Picked011
Done000
Total161127

Merged error: 2.2b

Counts
27 → 11
Compiler

Compiled 1841 to 1106 computations (39.9% 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))
2.9b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite26.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2831
18×distribute-lft-out_binary64_2782 cbrt-prod_binary64_2862
11×add-log-exp_binary64_2870
6×unpow-prod-down_binary64_2910 cube-prod_binary64_2859 sum-log_binary64_2922
5×add-cube-cbrt_binary64_2866 add-sqr-sqrt_binary64_2853
2×pow1_binary64_2892 flip3-+_binary64_2834 add-cbrt-cube_binary64_2867 cube-div_binary64_2860 add-exp-log_binary64_2869 flip-+_binary64_2805 cbrt-div_binary64_2863
1×pow1/3_binary64_2913 sqr-pow_binary64_2803 cube-mult_binary64_2861 rem-cbrt-cube_binary64_2855 +-commutative_binary64_2761 unpow3_binary64_2897 associate-+r+_binary64_2763
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)))

series118.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

67.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
51.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify67.0ms (3%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04984819
14984819

prune159.0ms (7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh729
Picked101
Done011
Total57663

Merged error: 0.4b

Counts
63 → 6
Compiler

Compiled 3119 to 1782 computations (42.9% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2831
20×cbrt-prod_binary64_2862
16×distribute-lft-out_binary64_2782
7×unpow-prod-down_binary64_2910 cube-prod_binary64_2859
6×cube-div_binary64_2860 cbrt-div_binary64_2863
5×flip3-+_binary64_2834 flip-+_binary64_2805
4×add-cube-cbrt_binary64_2866 frac-add_binary64_2839 add-sqr-sqrt_binary64_2853
1×pow1_binary64_2892 add-log-exp_binary64_2870 add-cbrt-cube_binary64_2867 pow1/3_binary64_2913 sqr-pow_binary64_2803 cube-mult_binary64_2861 rem-cbrt-cube_binary64_2855 add-exp-log_binary64_2869 unpow3_binary64_2897
Counts
1 → 35
Calls

1 calls:

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

series79.0ms (3.5%)

Counts
1 → 3
Calls

1 calls:

79.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify54.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04982818
14982818

prune129.0ms (5.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh404
Picked101
Done101
Total43144

Merged error: 0b

Counts
44 → 1
Compiler

Compiled 2329 to 1402 computations (39.8% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample827.0ms (36.4%)

Algorithm
1×intervals
Results
319.0ms8000×pre128true
224.0ms8000×body128valid
Compiler

Compiled 55 to 55 computations (0% saved)

Profiling

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