Details

Time bar (total: 5.1s)

analyze361.0ms (7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013440
113440
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.3%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
1.0ms31×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
05210
15210

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
0.0b
(*.f64 y (+.f64 z x))

rewrite39.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-sqr-sqrt_binary64_4874 *-un-lft-identity_binary64_4852
4×pow1_binary64_4913 add-exp-log_binary64_4890 add-log-exp_binary64_4891 add-cbrt-cube_binary64_4888 add-cube-cbrt_binary64_4887 associate-*r*_binary64_4792
3×associate-*l*_binary64_4793
2×distribute-rgt-in_binary64_4802 distribute-lft-in_binary64_4801 flip3-+_binary64_4855 associate-*r/_binary64_4794 flip-+_binary64_4826 associate-+r+_binary64_4784
1×pow-prod-down_binary64_4923 prod-exp_binary64_4901 cbrt-unprod_binary64_4885 unswap-sqr_binary64_4820 distribute-lft-out_binary64_4803 *-commutative_binary64_4783 sum-log_binary64_4943 +-commutative_binary64_4782
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 z x))
3.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 491 to 140 computations (71.5% saved)

series221.0ms (4.3%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

119.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
83.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify76.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04971641
14971641

prune42.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270
Error
0.0b
Counts
70 → 2
Compiler

Compiled 667 to 141 computations (78.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))

rewrite15.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-log-exp_binary64_4891
3×sum-log_binary64_4943 *-un-lft-identity_binary64_4852
1×pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874 flip3-+_binary64_4855 flip-+_binary64_4826 distribute-lft-out_binary64_4803 associate-+r+_binary64_4784 +-commutative_binary64_4782
Counts
1 → 14
Calls

1 calls:

5.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
Compiler

Compiled 253 to 51 computations (79.8% saved)

series125.0ms (2.4%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

117.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
Compiler

Compiled 313 to 186 computations (40.6% saved)

simplify70.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05026351

prune16.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh011
Picked011
Done000
Total32234
Error
0.0b
Counts
34 → 2
Compiler

Compiled 310 to 59 computations (81% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))

rewrite95.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
20×associate-*r/_binary64_4794
18×cbrt-div_binary64_4884
11×pow1_binary64_4913
10×add-sqr-sqrt_binary64_4874
9×pow1/3_binary64_4934 flip3-+_binary64_4855 flip-+_binary64_4826
8×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
7×cbrt-prod_binary64_4883
6×add-exp-log_binary64_4890
4×add-log-exp_binary64_4891 add-cbrt-cube_binary64_4888 frac-times_binary64_4862 swap-sqr_binary64_4819 associate-*l*_binary64_4793 associate-*r*_binary64_4792
2×pow-prod-down_binary64_4923 pow-prod-up_binary64_4922 pow-sqr_binary64_4825 associate-*l/_binary64_4795
1×pow2_binary64_4933 pow-plus_binary64_4915 prod-exp_binary64_4901 cbrt-unprod_binary64_4885 unswap-sqr_binary64_4820 *-commutative_binary64_4783
Counts
4 → 72
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.3s (25.8%)

Error
0.0b
Counts
4 → 68
Calls

4 calls:

441.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
307.0ms
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
244.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
231.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
Compiler

Compiled 6582 to 4293 computations (34.8% saved)

simplify80.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049813271
149813271

prune145.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh000
Picked011
Done011
Total1393142
Error
0.0b
Counts
142 → 3
Compiler

Compiled 4247 to 1245 computations (70.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b
(cbrt.f64 (*.f64 y (+.f64 x z)))

rewrite92.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
8×associate-*r/_binary64_4794 cbrt-div_binary64_4884
4×pow1/3_binary64_4934 pow1_binary64_4913 add-log-exp_binary64_4891 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 add-cube-cbrt_binary64_4887 flip3-+_binary64_4855 flip-+_binary64_4826 cbrt-prod_binary64_4883 add-sqr-sqrt_binary64_4874 *-un-lft-identity_binary64_4852
Counts
4 → 44
Calls

4 calls:

5.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
Compiler

Compiled 2112 to 680 computations (67.8% saved)

series1.1s (22.3%)

Error
0.0b
Counts
4 → 65
Calls

4 calls:

269.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
253.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
244.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
235.0ms
(cbrt.f64 (*.f64 y (+.f64 x z)))
Compiler

Compiled 9387 to 5710 computations (39.2% saved)

simplify93.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049371610
149371610

prune171.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done022
Total1093112
Error
0.0b
Counts
112 → 3
Compiler

Compiled 4995 to 1749 computations (65% saved)

regimes159.0ms (3.1%)

Accuracy

Total 0.0b remaining (76.5%)

Threshold costs 0.0b (76.5%)

Compiler

Compiled 1436 to 858 computations (40.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample798.0ms (15.5%)

Algorithm
1×intervals
Results
199.0ms8000×body128valid
14.0ms608×body128invalid
Compiler

Compiled 371 to 224 computations (39.6% saved)

Profiling

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