Details

Time bar (total: 1.8s)

analyze4.0ms (0.2%)

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

Compiled 26 to 22 computations (15.4% saved)

sample27.0ms (1.4%)

Algorithm
1×intervals
Results
11.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify167.0ms (9%)

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: 3.5b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.7b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×add-log-exp_binary64_1798 *-un-lft-identity_binary64_1762
9×distribute-lft-out_binary64_1715 sum-log_binary64_1850
2×flip3-+_binary64_1765 flip-+_binary64_1736 +-commutative_binary64_1694 add-sqr-sqrt_binary64_1783 add-cube-cbrt_binary64_1794 add-cbrt-cube_binary64_1795 associate-+r+_binary64_1696 add-exp-log_binary64_1797 pow1_binary64_1820
Counts
2 → 32
Calls

2 calls:

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

series74.0ms (4%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
24.0ms
(+.f64 b (+.f64 c d))

simplify54.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04888450
14888450

prune42.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.1b

Counts
39 → 7
Compiler

Compiled 633 to 259 computations (59.1% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

2.7b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
10×add-log-exp_binary64_1798 *-un-lft-identity_binary64_1762
6×distribute-lft-out_binary64_1715 sum-log_binary64_1850
1×flip3-+_binary64_1765 flip-+_binary64_1736 +-commutative_binary64_1694 add-sqr-sqrt_binary64_1783 add-cube-cbrt_binary64_1794 add-cbrt-cube_binary64_1795 associate-+r+_binary64_1696 add-exp-log_binary64_1797 pow1_binary64_1820
Counts
1 → 17
Calls

1 calls:

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

series52.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

52.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify46.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05445266

prune25.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh426
Picked011
Done000
Total18927

Merged error: 1.9b

Counts
27 → 9
Compiler

Compiled 446 to 196 computations (56.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.7b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite26.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_1762
18×cbrt-prod_binary64_1790 distribute-lft-out_binary64_1715
11×add-log-exp_binary64_1798
6×cube-prod_binary64_1787 sum-log_binary64_1850 unpow-prod-down_binary64_1838
5×add-sqr-sqrt_binary64_1783 add-cube-cbrt_binary64_1794
2×cube-div_binary64_1788 flip3-+_binary64_1765 flip-+_binary64_1736 cbrt-div_binary64_1791 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
1×cube-mult_binary64_1789 sqr-pow_binary64_1734 pow1/3_binary64_1841 unpow3_binary64_1825 +-commutative_binary64_1694 rem-cbrt-cube_binary64_1785 associate-+r+_binary64_1696
Counts
2 → 46
Calls

2 calls:

12.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
9.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series112.0ms (6.1%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
48.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify46.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05043819

prune56.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh437
Picked101
Done011
Total53861

Merged error: 0.3b

Counts
61 → 8
Compiler

Compiled 1008 to 414 computations (58.9% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_1762
20×cbrt-prod_binary64_1790
16×distribute-lft-out_binary64_1715
7×cube-prod_binary64_1787 unpow-prod-down_binary64_1838
6×cube-div_binary64_1788 cbrt-div_binary64_1791
5×flip3-+_binary64_1765 flip-+_binary64_1736
4×frac-add_binary64_1770 add-sqr-sqrt_binary64_1783 add-cube-cbrt_binary64_1794
1×cube-mult_binary64_1789 sqr-pow_binary64_1734 pow1/3_binary64_1841 unpow3_binary64_1825 add-log-exp_binary64_1798 rem-cbrt-cube_binary64_1785 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
Counts
1 → 35
Calls

1 calls:

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

series70.0ms (3.8%)

Counts
1 → 3
Calls

1 calls:

70.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify53.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04992818
14992818

prune43.0ms (2.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh606
Picked101
Done101
Total45146

Merged error: 0b

Counts
46 → 1
Compiler

Compiled 709 to 258 computations (63.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample873.0ms (47.2%)

Algorithm
1×intervals
Results
342.0ms8000×pre128true
238.0ms8000×body128valid
Compiler

Compiled 55 to 55 computations (0% saved)

Profiling

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