Details

Time bar (total: 2.8s)

analyze172.0ms (6.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01920
11920
022
122
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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms7×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.6b
(/.f64 x (*.f64 y y))

rewrite38.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
3×add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874 times-frac_binary64_4858 *-un-lft-identity_binary64_4852 associate-/l*_binary64_4797
2×div-exp_binary64_4903 cbrt-undiv_binary64_4886
1×pow1_binary64_4913 prod-exp_binary64_4901 add-log-exp_binary64_4891 cbrt-unprod_binary64_4885 frac-2neg_binary64_4863 clear-num_binary64_4851 div-inv_binary64_4849 associate-/r*_binary64_4796
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 256 to 108 computations (57.8% saved)

series71.0ms (2.5%)

Error
5.0b
Counts
1 → 6
Calls

1 calls:

67.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify75.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
06109244

prune28.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628
Error
0.0b
Counts
28 → 6
Compiler

Compiled 313 to 146 computations (53.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 x y) y)

rewrite61.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
75×times-frac_binary64_4858
43×add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874 *-un-lft-identity_binary64_4852
13×associate-/l*_binary64_4797
6×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
5×div-inv_binary64_4849
3×div-exp_binary64_4903 cbrt-undiv_binary64_4886 associate-/r*_binary64_4796
1×pow1_binary64_4913 add-log-exp_binary64_4891 frac-2neg_binary64_4863 clear-num_binary64_4851 associate-/l/_binary64_4799
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 1151 to 418 computations (63.7% saved)

series72.0ms (2.5%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

67.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify94.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
047631090
147631090

prune56.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh134
Picked011
Done011
Total76682
Error
0b
Counts
82 → 6
Compiler

Compiled 1078 to 454 computations (57.9% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(pow.f64 (/.f64 x (*.f64 y y)) 3)
9.6b
(/.f64 x (*.f64 y y))
28.6b
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))

rewrite91.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
20×cbrt-prod_binary64_4883
15×add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874 times-frac_binary64_4858 *-un-lft-identity_binary64_4852
14×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 unpow-prod-down_binary64_4931 cube-prod_binary64_4880
5×div-inv_binary64_4849
4×pow1_binary64_4913 div-exp_binary64_4903 cbrt-undiv_binary64_4886
3×add-log-exp_binary64_4891 associate-/l*_binary64_4797 pow-unpow_binary64_4929 pow-exp_binary64_4920 rem-cube-cbrt_binary64_4875
2×cube-div_binary64_4881 unpow3_binary64_4918 cube-mult_binary64_4882 sqr-pow_binary64_4824 prod-exp_binary64_4901 cbrt-unprod_binary64_4885
1×pow1/3_binary64_4934 cbrt-div_binary64_4884 rem-cbrt-cube_binary64_4876 frac-2neg_binary64_4863 clear-num_binary64_4851 associate-/r*_binary64_4796 pow-pow_binary64_4924 pow-to-exp_binary64_4921
Counts
3 → 87
Calls

3 calls:

6.0ms
(pow.f64 (/.f64 x (*.f64 y y)) 3)
4.0ms
(/.f64 x (*.f64 y y))
4.0ms
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
Compiler

Compiled 1482 to 724 computations (51.1% saved)

series251.0ms (8.8%)

Error
0b
Counts
3 → 18
Calls

3 calls:

104.0ms
(pow.f64 (/.f64 x (*.f64 y y)) 3)
75.0ms
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
61.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 501 to 467 computations (6.8% saved)

simplify72.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054751151

prune73.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done022
Total1056111
Error
0b
Counts
111 → 6
Compiler

Compiled 1382 to 718 computations (48% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
0.1b
(/.f64 (sqrt.f64 (/.f64 x y)) y)
9.2b
(sqrt.f64 (/.f64 x y))
9.2b
(sqrt.f64 (/.f64 x y))

rewrite249.0ms (8.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
204×times-frac_binary64_4858
162×add-sqr-sqrt_binary64_4874
144×sqrt-prod_binary64_4868
116×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
52×associate-*r*_binary64_4792
16×associate-/l*_binary64_4797 associate-*l*_binary64_4793
12×div-inv_binary64_4849 unswap-sqr_binary64_4820
11×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
8×pow1_binary64_4913
5×sqrt-div_binary64_4869
4×add-log-exp_binary64_4891 rem-sqrt-square_binary64_4865
3×associate-/r*_binary64_4796
2×pow1/2_binary64_4932 sqrt-pow1_binary64_4870 div-exp_binary64_4903 cbrt-undiv_binary64_4886 prod-exp_binary64_4901 cbrt-unprod_binary64_4885
1×frac-2neg_binary64_4863 clear-num_binary64_4851 associate-/l/_binary64_4799 pow-prod-down_binary64_4923 frac-times_binary64_4862 associate-*l/_binary64_4795 associate-*r/_binary64_4794 *-commutative_binary64_4783
Counts
4 → 226
Calls

4 calls:

31.0ms
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
7.0ms
(/.f64 (sqrt.f64 (/.f64 x y)) y)
3.0ms
(sqrt.f64 (/.f64 x y))
3.0ms
(sqrt.f64 (/.f64 x y))
Compiler

Compiled 5220 to 1342 computations (74.3% saved)

series195.0ms (6.9%)

Error
0b
Counts
4 → 24
Calls

4 calls:

63.0ms
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
44.0ms
(/.f64 (sqrt.f64 (/.f64 x y)) y)
38.0ms
(sqrt.f64 (/.f64 x y))
36.0ms
(sqrt.f64 (/.f64 x y))
Compiler

Compiled 1086 to 778 computations (28.4% saved)

simplify108.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051474188

prune183.0ms (6.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2500250
Fresh022
Picked011
Done033
Total2506256
Error
0b
Counts
256 → 6
Compiler

Compiled 4912 to 1254 computations (74.5% saved)

regimes168.0ms (5.9%)

Accuracy

Total 0.1b remaining (93.3%)

Threshold costs 0.1b (93.3%)

Compiler

Compiled 1461 to 992 computations (32.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample734.0ms (25.8%)

Algorithm
1×intervals
Results
204.0ms8000×body128valid
9.0ms415×body128invalid
Compiler

Compiled 267 to 188 computations (29.6% saved)

Profiling

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