Details

Time bar (total: 4.7s)

analyze493.0ms (10.5%)

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)

sample28.0ms (0.6%)

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

Compiled 17 to 21 computations (-23.5% saved)

simplify169.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

prune2.0ms (0%)

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 (0.1%)

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)))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_789
15×sqrt-prod_binary64_783
11×*-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
10×associate-*r*_binary64_707 add-exp-log_binary64_805 add-cbrt-cube_binary64_803
times-frac_binary64_773
pow1_binary64_828
associate-*l*_binary64_708 add-log-exp_binary64_806 associate-/l*_binary64_712 div-inv_binary64_764
unswap-sqr_binary64_735 cbrt-undiv_binary64_801 cbrt-unprod_binary64_800 prod-exp_binary64_816 div-exp_binary64_818 sqrt-div_binary64_784
frac-2neg_binary64_778 rem-sqrt-square_binary64_780 associate-/r*_binary64_711 *-commutative_binary64_698 pow1/2_binary64_847 associate-*r/_binary64_709 sqrt-pow1_binary64_785 pow-prod-down_binary64_838 clear-num_binary64_766
Counts
3 → 66
Calls

3 calls:

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

series211.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

106.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
64.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
42.0ms
(/.f64 A (*.f64 V l))

simplify90.0ms (1.9%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04937857
14937857

prune607.0ms (13%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New581775
Fresh000
Picked101
Done000
Total591776

Merged error: 7.1b

Counts
76 → 17
Compiler

Compiled 6036 to 4158 computations (31.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 1 (*.f64 V l))
1.1b
(*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l)))))
3.9b
(*.f64 A (/.f64 1 (*.f64 V l)))
17.5b
(sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))

rewrite37.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
36×add-exp-log_binary64_805
20×add-cbrt-cube_binary64_803
15×add-sqr-sqrt_binary64_789
14×prod-exp_binary64_816 pow1_binary64_828
11×associate-*r*_binary64_707 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
div-exp_binary64_818
associate-*l*_binary64_708 cbrt-unprod_binary64_800 times-frac_binary64_773
associate-*r/_binary64_709
cbrt-undiv_binary64_801 1-exp_binary64_811 add-log-exp_binary64_806 rec-exp_binary64_817 pow-prod-down_binary64_838 sqrt-div_binary64_784
associate-/l*_binary64_712 un-div-inv_binary64_765
unswap-sqr_binary64_735 pow-flip_binary64_841 *-commutative_binary64_698 sqrt-prod_binary64_783 sqrt-pow1_binary64_785 div-inv_binary64_764
frac-2neg_binary64_778 associate-/r*_binary64_711 pow1/2_binary64_847 clear-num_binary64_766 inv-pow_binary64_852
Counts
4 → 94
Calls

4 calls:

11.0ms
(*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l)))))
9.0ms
(*.f64 A (/.f64 1 (*.f64 V l)))
6.0ms
(sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))
5.0ms
(/.f64 1 (*.f64 V l))

series227.0ms (4.8%)

Counts
4 → 12
Calls

4 calls:

106.0ms
(*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l)))))
63.0ms
(sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))
36.0ms
(*.f64 A (/.f64 1 (*.f64 V l)))
21.0ms
(/.f64 1 (*.f64 V l))

simplify96.0ms (2%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04968996
14968996

prune104.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh01616
Picked011
Done000
Total10518123

Merged error: 7.1b

Counts
123 → 18
Compiler

Compiled 1764 to 849 computations (51.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_805 add-sqr-sqrt_binary64_789 sqrt-prod_binary64_783 add-cbrt-cube_binary64_803
12×times-frac_binary64_773 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
pow1_binary64_828 associate-/l*_binary64_712
cbrt-undiv_binary64_801 add-log-exp_binary64_806 div-exp_binary64_818 div-inv_binary64_764
frac-2neg_binary64_778 rem-sqrt-square_binary64_780 associate-/r*_binary64_711 cbrt-unprod_binary64_800 prod-exp_binary64_816 pow1/2_binary64_847 sqrt-pow1_binary64_785 clear-num_binary64_766 sqrt-div_binary64_784
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)))

series190.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

61.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
58.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
37.0ms
(/.f64 A (*.f64 V l))
35.0ms
(/.f64 A (*.f64 V l))

simplify128.0ms (2.7%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
04732904
14732904

prune128.0ms (2.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh11516
Picked011
Done011
Total9018108

Merged error: 7.1b

Counts
108 → 18
Compiler

Compiled 2585 to 957 computations (63% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_805 cbrt-prod_binary64_798 add-cbrt-cube_binary64_803
12×times-frac_binary64_773 add-sqr-sqrt_binary64_789 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
associate-/l*_binary64_712
cbrt-undiv_binary64_801 pow1_binary64_828 add-log-exp_binary64_806 div-exp_binary64_818 div-inv_binary64_764
frac-2neg_binary64_778 pow1/3_binary64_849 associate-/r*_binary64_711 cbrt-unprod_binary64_800 prod-exp_binary64_816 cbrt-div_binary64_799 clear-num_binary64_766
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)))

series379.0ms (8.1%)

Counts
4 → 12
Calls

4 calls:

150.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
147.0ms
(cbrt.f64 (/.f64 A (*.f64 V l)))
43.0ms
(/.f64 A (*.f64 V l))
40.0ms
(/.f64 A (*.f64 V l))

simplify56.0ms (1.2%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05090924

prune128.0ms (2.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh21315
Picked011
Done022
Total8717104

Merged error: 7.1b

Counts
104 → 17
Compiler

Compiled 2556 to 1035 computations (59.5% saved)

regimes383.0ms (8.2%)

Compiler

Compiled 1948 to 1585 computations (18.6% 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
04388
14388

end0.0ms (0%)

sample1.1s (23.9%)

Algorithm
intervals
Results
310.0ms8000×body128valid
108.0ms3014×body128nan
37.0ms880×body128invalid
Compiler

Compiled 306 to 240 computations (21.6% saved)

Profiling

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