Details

Time bar (total: 4.7s)

analyze362.0ms (7.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036140
136140
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
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample25.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify19.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
024110
124110

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.1b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.8b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
5.1b
Rules
add-sqr-sqrt_binary64_4874
pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852 associate-*l*_binary64_4793 associate-*r*_binary64_4792
sub-neg_binary64_4845 distribute-rgt-in_binary64_4802 cancel-sign-sub-inv_binary64_4818 distribute-lft-in_binary64_4801 associate-*r/_binary64_4794
pow-prod-down_binary64_4923 prod-exp_binary64_4901 add-log-exp_binary64_4891 cbrt-unprod_binary64_4885 unswap-sqr_binary64_4820 flip3--_binary64_4856 flip--_binary64_4827 *-commutative_binary64_4783
Counts
1 → 24
Calls

1 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
Compiler

Compiled 340 to 178 computations (47.6% saved)

series119.0ms (2.5%)

Error
5.0b
Counts
1 → 15
Calls

1 calls:

112.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04868429
14868429

prune36.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh000
Picked101
Done000
Total33740
Error
4.9b
Counts
40 → 7
Compiler

Compiled 493 to 256 computations (48.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (neg.f64 (*.f64 x (*.f64 z y))))
7.5b
(*.f64 x (*.f64 z y))

rewrite38.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
add-log-exp_binary64_4891
*-un-lft-identity_binary64_4852
pow-prod-down_binary64_4923 prod-exp_binary64_4901 add-cube-cbrt_binary64_4887 cbrt-unprod_binary64_4885 add-sqr-sqrt_binary64_4874 associate-*l*_binary64_4793
sum-log_binary64_4943
associate-*r*_binary64_4792 *-commutative_binary64_4783 neg-log_binary64_4945 flip3-+_binary64_4855 unsub-neg_binary64_4846 flip-+_binary64_4826 distribute-lft-out_binary64_4803 neg-sub0_binary64_4847 associate-+r-_binary64_4786 +-commutative_binary64_4782
Counts
2 → 33
Calls

2 calls:

5.0ms
(*.f64 x (*.f64 z y))
4.0ms
(+.f64 x (neg.f64 (*.f64 x (*.f64 z y))))
Compiler

Compiled 475 to 141 computations (70.3% saved)

series210.0ms (4.4%)

Error
4.9b
Counts
2 → 24
Calls

2 calls:

112.0ms
(+.f64 x (neg.f64 (*.f64 x (*.f64 z y))))
86.0ms
(*.f64 x (*.f64 z y))
Compiler

Compiled 471 to 305 computations (35.2% saved)

simplify87.0ms (1.8%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04892548
14892548

prune36.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh246
Picked011
Done000
Total58664
Error
0.0b
Counts
64 → 6
Compiler

Compiled 643 to 191 computations (70.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y)))))
5.1b
(cbrt.f64 (-.f64 1 (*.f64 z y)))
5.1b
(cbrt.f64 (-.f64 1 (*.f64 z y)))
5.1b
(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite126.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-div_binary64_4884
10×associate-*r/_binary64_4794
pow1_binary64_4913 add-exp-log_binary64_4890 flip3--_binary64_4856 flip--_binary64_4827 cbrt-prod_binary64_4883 add-sqr-sqrt_binary64_4874
add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
add-cbrt-cube_binary64_4888
add-log-exp_binary64_4891 frac-times_binary64_4862
pow1/3_binary64_4934 pow-prod-down_binary64_4923 prod-exp_binary64_4901 cbrt-unprod_binary64_4885 associate-*l*_binary64_4793
associate-*l/_binary64_4795
unswap-sqr_binary64_4820 associate-*r*_binary64_4792 *-commutative_binary64_4783
Counts
4 → 66
Calls

4 calls:

14.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y)))))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
Compiler

Compiled 2168 to 1227 computations (43.4% saved)

series798.0ms (16.9%)

Error
0.0b
Counts
4 → 55
Calls

4 calls:

393.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y)))))
117.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
114.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
104.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
Compiler

Compiled 4595 to 3438 computations (25.2% saved)

simplify67.0ms (1.4%)

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049762204
149762204

prune160.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh044
Picked011
Done011
Total1207127
Error
0.0b
Counts
127 → 7
Compiler

Compiled 3402 to 1924 computations (43.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (neg.f64 (*.f64 (*.f64 x z) y)))
6.4b
(*.f64 (*.f64 x z) y)

rewrite35.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
add-log-exp_binary64_4891
*-un-lft-identity_binary64_4852
pow-prod-down_binary64_4923 prod-exp_binary64_4901 add-cube-cbrt_binary64_4887 cbrt-unprod_binary64_4885 add-sqr-sqrt_binary64_4874 associate-*r*_binary64_4792
sum-log_binary64_4943
associate-*l*_binary64_4793 *-commutative_binary64_4783 neg-log_binary64_4945 flip3-+_binary64_4855 unsub-neg_binary64_4846 flip-+_binary64_4826 distribute-lft-out_binary64_4803 neg-sub0_binary64_4847 associate-+r-_binary64_4786 +-commutative_binary64_4782
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x z) y)
4.0ms
(+.f64 x (neg.f64 (*.f64 (*.f64 x z) y)))
Compiler

Compiled 475 to 142 computations (70.1% saved)

series200.0ms (4.2%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

107.0ms
(+.f64 x (neg.f64 (*.f64 (*.f64 x z) y)))
84.0ms
(*.f64 (*.f64 x z) y)
Compiler

Compiled 471 to 305 computations (35.2% saved)

simplify88.0ms (1.9%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
06127553

prune28.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New56157
Fresh044
Picked011
Done022
Total56864
Error
0.0b
Counts
64 → 8
Compiler

Compiled 554 to 120 computations (78.3% saved)

regimes728.0ms (15.4%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

Compiler

Compiled 5634 to 4104 computations (27.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012340
112340
Compiler

Compiled 54 to 32 computations (40.7% saved)

end0.0ms (0%)

sample1.4s (30.1%)

Algorithm
intervals
Results
201.0ms8000×body128valid
13.0ms551×body128invalid
Compiler

Compiled 881 to 636 computations (27.8% saved)

Profiling

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