Details

Time bar (total: 5.9s)

analyze604.0ms (10.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms61×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify172.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03013
13013

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite24.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_2870 add-sqr-sqrt_binary64_2853
pow1_binary64_2892 add-cube-cbrt_binary64_2866 add-cbrt-cube_binary64_2867 add-exp-log_binary64_2869 *-un-lft-identity_binary64_2831
flip3-+_binary64_2834 associate-*r*_binary64_2771 associate-*l*_binary64_2772 flip-+_binary64_2805
associate-*l/_binary64_2774 +-commutative_binary64_2761 sum-log_binary64_2922
pow-prod-down_binary64_2902 cbrt-unprod_binary64_2864 *-commutative_binary64_2762 unswap-sqr_binary64_2799 prod-exp_binary64_2880
Counts
3 → 42
Calls

3 calls:

9.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
5.0ms
(+.f64 (*.f64 x y) z)

series228.0ms (3.9%)

Counts
3 → 9
Calls

3 calls:

119.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
68.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
40.0ms
(+.f64 (*.f64 x y) z)

simplify80.0ms (1.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04989719
14989719

prune155.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7
Compiler

Compiled 2626 to 1201 computations (54.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite40.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2862
23×add-sqr-sqrt_binary64_2853
18×cbrt-div_binary64_2863
15×add-cube-cbrt_binary64_2866 *-un-lft-identity_binary64_2831
11×pow1_binary64_2892
flip3-+_binary64_2834 pow1/3_binary64_2913 flip-+_binary64_2805
swap-sqr_binary64_2798 associate-*r*_binary64_2771 associate-*l*_binary64_2772 add-exp-log_binary64_2869
add-log-exp_binary64_2870 add-cbrt-cube_binary64_2867 unswap-sqr_binary64_2799 frac-times_binary64_2841
pow-prod-down_binary64_2902 pow-prod-up_binary64_2901 pow-sqr_binary64_2804 associate-*l/_binary64_2774 associate-*r/_binary64_2773
cbrt-unprod_binary64_2864 *-commutative_binary64_2762 prod-exp_binary64_2880 pow2_binary64_2912 pow-plus_binary64_2894
Counts
4 → 87
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series869.0ms (14.7%)

Counts
4 → 12
Calls

4 calls:

261.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
210.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
204.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
195.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify111.0ms (1.9%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049111777
149111777

prune168.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh145
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8
Compiler

Compiled 3953 to 1243 computations (68.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2862
23×add-sqr-sqrt_binary64_2853
15×add-cube-cbrt_binary64_2866 *-un-lft-identity_binary64_2831
11×pow1_binary64_2892
pow1/3_binary64_2913
swap-sqr_binary64_2798 associate-*r*_binary64_2771 associate-*l*_binary64_2772 add-exp-log_binary64_2869
add-log-exp_binary64_2870 add-cbrt-cube_binary64_2867 unswap-sqr_binary64_2799
pow-prod-down_binary64_2902 pow-prod-up_binary64_2901 pow-sqr_binary64_2804
cbrt-unprod_binary64_2864 *-commutative_binary64_2762 prod-exp_binary64_2880 pow2_binary64_2912 pow-plus_binary64_2894
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series644.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
156.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)

simplify70.0ms (1.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05245563

prune129.0ms (2.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done022
Total84993

Merged error: 0.0b

Counts
93 → 9
Compiler

Compiled 2564 to 971 computations (62.1% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
0.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
0.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite41.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64_2862
21×unpow-prod-down_binary64_2910
16×add-cube-cbrt_binary64_2866 add-sqr-sqrt_binary64_2853 *-un-lft-identity_binary64_2831
pow-unpow_binary64_2908
pow1_binary64_2892 add-exp-log_binary64_2869
pow-pow_binary64_2903
add-log-exp_binary64_2870 add-cbrt-cube_binary64_2867 pow1/3_binary64_2913 cbrt-div_binary64_2863
pow-exp_binary64_2899 unpow2_binary64_2896 sqr-pow_binary64_2803 pow-to-exp_binary64_2900
flip3-+_binary64_2834 flip-+_binary64_2805
Counts
4 → 85
Calls

4 calls:

8.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
7.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
7.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
6.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

series1.2s (20.6%)

Counts
4 → 12
Calls

4 calls:

346.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z))) 2)
332.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
320.0ms
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) 2)
223.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

simplify116.0ms (2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
048781562
148781562

prune183.0ms (3.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New96197
Fresh055
Picked011
Done033
Total9610106

Merged error: 0.0b

Counts
106 → 10
Compiler

Compiled 4617 to 1653 computations (64.2% saved)

regimes164.0ms (2.8%)

Compiler

Compiled 1612 to 902 computations (44% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample809.0ms (13.7%)

Algorithm
intervals
Results
247.0ms8000×body128valid
57.0ms1831×body128invalid
Compiler

Compiled 281 to 161 computations (42.7% saved)

Profiling

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