Details

Time bar (total: 4.1s)

analyze483.0ms (11.7%)

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%93.6%6.4%7
3.1%84.2%12.7%8
12.5%67.1%20.5%9
16%63.5%20.5%10
17.9%57.7%24.4%11
22.6%48.7%28.7%12
28.7%37.8%33.6%13
30.4%35.9%33.7%14
Compiler

Compiled 9 to 9 computations (0% saved)

sample29.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
4.0ms111×body128nan
1.0ms36×body128invalid
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify165.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.6b

Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.1b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
4.2b
(/.f64 A (*.f64 V l))
17.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_785
15×sqrt-prod_binary64_779
11×*-un-lft-identity_binary64_763 add-cube-cbrt_binary64_798
10×associate-*r*_binary64_703 add-exp-log_binary64_801 add-cbrt-cube_binary64_799
times-frac_binary64_769
pow1_binary64_824
div-inv_binary64_760 associate-*l*_binary64_704 associate-/l*_binary64_708 add-log-exp_binary64_802
cbrt-undiv_binary64_797 unswap-sqr_binary64_731 prod-exp_binary64_812 cbrt-unprod_binary64_796 div-exp_binary64_814 sqrt-div_binary64_780
frac-2neg_binary64_774 pow1/2_binary64_843 associate-*r/_binary64_705 sqrt-pow1_binary64_781 associate-/r*_binary64_707 clear-num_binary64_762 *-commutative_binary64_694 rem-sqrt-square_binary64_776 pow-prod-down_binary64_834
Counts
3 → 66
Calls

3 calls:

9.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
7.0ms
(/.f64 A (*.f64 V l))
5.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series195.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
58.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
36.0ms
(/.f64 A (*.f64 V l))

simplify90.0ms (2.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04937857
14937857

prune79.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New591675
Fresh000
Picked101
Done000
Total601676

Merged error: 7.1b

Counts
76 → 16
Compiler

Compiled 1117 to 387 computations (65.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b
(/.f64 A (*.f64 V l))
4.2b
(/.f64 A (*.f64 V l))
17.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))
17.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×sqrt-prod_binary64_779 add-exp-log_binary64_801 add-sqr-sqrt_binary64_785 add-cbrt-cube_binary64_799
12×*-un-lft-identity_binary64_763 add-cube-cbrt_binary64_798 times-frac_binary64_769
pow1_binary64_824 associate-/l*_binary64_708
cbrt-undiv_binary64_797 div-inv_binary64_760 div-exp_binary64_814 add-log-exp_binary64_802
frac-2neg_binary64_774 pow1/2_binary64_843 sqrt-pow1_binary64_781 associate-/r*_binary64_707 clear-num_binary64_762 rem-sqrt-square_binary64_776 prod-exp_binary64_812 cbrt-unprod_binary64_796 sqrt-div_binary64_780
Counts
4 → 78
Calls

4 calls:

5.0ms
(/.f64 A (*.f64 V l))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series189.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

59.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
56.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
39.0ms
(/.f64 A (*.f64 V l))
35.0ms
(/.f64 A (*.f64 V l))

simplify121.0ms (2.9%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
04732904
14732904

prune82.0ms (2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh11415
Picked011
Done000
Total9016106

Merged error: 7.1b

Counts
106 → 16
Compiler

Compiled 2026 to 517 computations (74.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.2b
(/.f64 A (*.f64 V l))
4.2b
(/.f64 A (*.f64 V l))
19.7b
(cbrt.f64 (/.f64 A (*.f64 V l)))
19.7b
(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_801 add-cbrt-cube_binary64_799 cbrt-prod_binary64_794
12×*-un-lft-identity_binary64_763 add-cube-cbrt_binary64_798 add-sqr-sqrt_binary64_785 times-frac_binary64_769
associate-/l*_binary64_708
cbrt-undiv_binary64_797 pow1_binary64_824 div-inv_binary64_760 div-exp_binary64_814 add-log-exp_binary64_802
frac-2neg_binary64_774 associate-/r*_binary64_707 clear-num_binary64_762 pow1/3_binary64_845 cbrt-div_binary64_795 prod-exp_binary64_812 cbrt-unprod_binary64_796
Counts
4 → 74
Calls

4 calls:

5.0ms
(/.f64 A (*.f64 V l))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
4.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))

series374.0ms (9%)

Counts
4 → 12
Calls

4 calls:

156.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
146.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
38.0ms
(/.f64 A (*.f64 V l))
34.0ms
(/.f64 A (*.f64 V l))

simplify57.0ms (1.4%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05090924

prune81.0ms (1.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh21214
Picked011
Done011
Total8715102

Merged error: 7.1b

Counts
102 → 15
Compiler

Compiled 1946 to 548 computations (71.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b
(*.f64 c0 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))))
4.2b
(/.f64 A (*.f64 V l))
12.5b
(cbrt.f64 (*.f64 V l))
19.7b
(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_801 add-cbrt-cube_binary64_799
*-un-lft-identity_binary64_763 pow1_binary64_824 add-cube-cbrt_binary64_798 add-sqr-sqrt_binary64_785
cbrt-prod_binary64_794
times-frac_binary64_769
prod-exp_binary64_812 cbrt-unprod_binary64_796 add-log-exp_binary64_802
associate-*l*_binary64_704 pow-prod-down_binary64_834 associate-/l*_binary64_708
cbrt-undiv_binary64_797 associate-*r/_binary64_705 div-inv_binary64_760 pow1/3_binary64_845 cbrt-div_binary64_795 div-exp_binary64_814
associate-*r*_binary64_703 frac-2neg_binary64_774 associate-/r*_binary64_707 clear-num_binary64_762 *-commutative_binary64_694 sqrt-div_binary64_780
Counts
4 → 65
Calls

4 calls:

9.0ms
(*.f64 c0 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
3.0ms
(cbrt.f64 (*.f64 V l))

series574.0ms (13.9%)

Counts
4 → 12
Calls

4 calls:

268.0ms
(*.f64 c0 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l)))) (sqrt.f64 (cbrt.f64 (/.f64 A (*.f64 V l))))))
159.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
111.0ms
(cbrt.f64 (*.f64 V l))
36.0ms
(/.f64 A (*.f64 V l))

simplify72.0ms (1.8%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049791245
149791245

prune68.0ms (1.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New74377
Fresh11112
Picked101
Done022
Total761692

Merged error: 3.7b

Counts
92 → 16
Compiler

Compiled 1700 to 385 computations (77.4% saved)

regimes288.0ms (7%)

Compiler

Compiled 1960 to 1540 computations (21.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04892
14892

end0.0ms (0%)

sample1.0s (25.2%)

Algorithm
intervals
Results
303.0ms8000×body128valid
107.0ms3014×body128nan
32.0ms880×body128invalid
Compiler

Compiled 307 to 234 computations (23.8% saved)

Profiling

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