Details

Time bar (total: 3.8s)

analyze472.0ms (12.6%)

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)

sample26.0ms (0.7%)

Algorithm
intervals
Results
11.0ms256×body128valid
3.0ms75×body128nan
1.0ms20×body128invalid
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify169.0ms (4.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.3b

Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.2b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0b
(/.f64 A (*.f64 V l))
18.1b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_1109
15×sqrt-prod_binary64_1103
11×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
10×associate-*r*_binary64_1030 add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
times-frac_binary64_1094
pow1_binary64_1146
associate-*l*_binary64_1031 add-log-exp_binary64_1124 associate-/l*_binary64_1035 div-inv_binary64_1085
unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 div-exp_binary64_1136 sqrt-div_binary64_1104 cbrt-undiv_binary64_1119 prod-exp_binary64_1134
*-commutative_binary64_1021 clear-num_binary64_1087 frac-2neg_binary64_1099 rem-sqrt-square_binary64_1101 associate-/r*_binary64_1034 pow-prod-down_binary64_1156 sqrt-pow1_binary64_1105 associate-*r/_binary64_1032 pow1/2_binary64_1165
Counts
3 → 66
Calls

3 calls:

8.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series197.0ms (5.2%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
57.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
38.0ms
(/.f64 A (*.f64 V l))

simplify90.0ms (2.4%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04940857
14940857

prune79.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New611475
Fresh000
Picked101
Done000
Total621476

Merged error: 6.3b

Counts
76 → 14
Compiler

Compiled 1046 to 360 computations (65.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 1 (*.f64 V l))
1.2b
(*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l)))))
5.0b
(*.f64 A (/.f64 1 (*.f64 V l)))
18.1b
(sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))

rewrite37.0ms (1%)

Algorithm
rewrite-expression-head
Rules
36×add-exp-log_binary64_1123
20×add-cbrt-cube_binary64_1121
15×add-sqr-sqrt_binary64_1109
14×prod-exp_binary64_1134 pow1_binary64_1146
11×associate-*r*_binary64_1030 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
div-exp_binary64_1136
cbrt-unprod_binary64_1118 times-frac_binary64_1094 associate-*l*_binary64_1031
associate-*r/_binary64_1032
rec-exp_binary64_1135 1-exp_binary64_1129 sqrt-div_binary64_1104 cbrt-undiv_binary64_1119 pow-prod-down_binary64_1156 add-log-exp_binary64_1124
un-div-inv_binary64_1086 associate-/l*_binary64_1035
*-commutative_binary64_1021 unswap-sqr_binary64_1056 sqrt-prod_binary64_1103 pow-flip_binary64_1159 sqrt-pow1_binary64_1105 div-inv_binary64_1085
clear-num_binary64_1087 frac-2neg_binary64_1099 inv-pow_binary64_1170 associate-/r*_binary64_1034 pow1/2_binary64_1165
Counts
4 → 94
Calls

4 calls:

9.0ms
(*.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))

series223.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

106.0ms
(*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l)))))
60.0ms
(sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))
38.0ms
(*.f64 A (/.f64 1 (*.f64 V l)))
19.0ms
(/.f64 1 (*.f64 V l))

simplify87.0ms (2.3%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05057996

prune80.0ms (2.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh01313
Picked011
Done000
Total10515120

Merged error: 6.3b

Counts
120 → 15
Compiler

Compiled 1425 to 613 computations (57% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.0b
(/.f64 A (*.f64 V l))
5.0b
(/.f64 A (*.f64 V l))
18.1b
(sqrt.f64 (/.f64 A (*.f64 V l)))
18.1b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary64_1121 add-sqr-sqrt_binary64_1109 sqrt-prod_binary64_1103 add-exp-log_binary64_1123
12×times-frac_binary64_1094 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
pow1_binary64_1146 associate-/l*_binary64_1035
div-exp_binary64_1136 cbrt-undiv_binary64_1119 add-log-exp_binary64_1124 div-inv_binary64_1085
clear-num_binary64_1087 frac-2neg_binary64_1099 rem-sqrt-square_binary64_1101 cbrt-unprod_binary64_1118 associate-/r*_binary64_1034 sqrt-div_binary64_1104 prod-exp_binary64_1134 sqrt-pow1_binary64_1105 pow1/2_binary64_1165
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)))

series188.0ms (5%)

Counts
4 → 12
Calls

4 calls:

58.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
56.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
38.0ms
(/.f64 A (*.f64 V l))
36.0ms
(/.f64 A (*.f64 V l))

simplify119.0ms (3.2%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04732904
14732904

prune81.0ms (2.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh01313
Picked011
Done011
Total8916105

Merged error: 6.3b

Counts
105 → 16
Compiler

Compiled 1986 to 499 computations (74.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.2b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
4.8b
(*.f64 (/.f64 A V) (/.f64 1 l))
18.1b
(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))

rewrite39.0ms (1%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_1109
27×add-exp-log_binary64_1123
25×times-frac_binary64_1094
21×*-un-lft-identity_binary64_1088
19×add-cube-cbrt_binary64_1120
17×associate-*r*_binary64_1030 add-cbrt-cube_binary64_1121
16×associate-*l*_binary64_1031
10×pow1_binary64_1146
prod-exp_binary64_1134
div-exp_binary64_1136 sqrt-div_binary64_1104
unswap-sqr_binary64_1056 associate-*r/_binary64_1032
cbrt-unprod_binary64_1118
cbrt-undiv_binary64_1119
associate-*l/_binary64_1033 frac-times_binary64_1098 un-div-inv_binary64_1086 pow-prod-down_binary64_1156 add-log-exp_binary64_1124
*-commutative_binary64_1021 rec-exp_binary64_1135 sqrt-prod_binary64_1103 1-exp_binary64_1129 sqrt-pow1_binary64_1105 div-inv_binary64_1085
pow1/2_binary64_1165
Counts
3 → 95
Calls

3 calls:

12.0ms
(*.f64 (/.f64 A V) (/.f64 1 l))
10.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
9.0ms
(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))

series203.0ms (5.4%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))))
59.0ms
(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))
39.0ms
(*.f64 (/.f64 A V) (/.f64 1 l))

simplify97.0ms (2.6%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
048751146
148751146

prune72.0ms (1.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New995104
Fresh7613
Picked011
Done022
Total10614120

Merged error: 4.5b

Counts
120 → 14
Compiler

Compiled 1337 to 448 computations (66.5% saved)

regimes438.0ms (11.7%)

Compiler

Compiled 1156 to 1124 computations (2.8% 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
04183
14183

end0.0ms (0%)

sample975.0ms (26%)

Algorithm
intervals
Results
292.0ms8000×body128valid
108.0ms3051×body128nan
32.0ms910×body128invalid
Compiler

Compiled 208 to 181 computations (13% saved)

Profiling

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