Details

Time bar (total: 4.2s)

analyze478.0ms (11.5%)

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)

sample25.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms88×body80nan
1.0ms24×body80invalid
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify20.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

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: 21.0b

Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.7b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
6.0b
(/.f64 A (*.f64 V l))
17.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
15×sqrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
times-frac_binary64
pow1_binary64
add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 div-inv_binary64 insert-posit16
cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 sqrt-div_binary64
pow-prod-down_binary64 associate-/r*_binary64 pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
3 → 69
Calls

3 calls:

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

series195.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

95.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
61.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
38.0ms
(/.f64 A (*.f64 V l))

simplify182.0ms (4.4%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
04794891
14794891

prune79.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New661278
Fresh000
Picked011
Done000
Total661379

Merged error: 7.4b

Counts
79 → 13
Compiler

Compiled 1065 to 350 computations (67.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.0b
(/.f64 A (*.f64 V l))
6.0b
(/.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×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
pow1_binary64 associate-/l*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 insert-posit16
associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 sqrt-div_binary64
Counts
4 → 82
Calls

4 calls:

6.0ms
(/.f64 A (*.f64 V l))
6.0ms
(/.f64 A (*.f64 V l))
5.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
5.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series189.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

62.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
55.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
36.0ms
(/.f64 A (*.f64 V l))
35.0ms
(/.f64 A (*.f64 V l))

simplify236.0ms (5.7%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
04528944
14528944

prune84.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh2911
Picked101
Done011
Total9611107

Merged error: 7.4b

Counts
107 → 11
Compiler

Compiled 2012 to 472 computations (76.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 c0)
0.9b
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 c0))
6.0b
(/.f64 A (*.f64 V l))
17.5b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
16×sqrt-prod_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×add-exp-log_binary64
10×add-cbrt-cube_binary64 associate-*l*_binary64
times-frac_binary64
cbrt-prod_binary64
pow1_binary64
associate-*r*_binary64
add-log-exp_binary64 unswap-sqr_binary64 insert-posit16
associate-/l*_binary64 div-inv_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 sqrt-div_binary64
pow-prod-down_binary64 associate-/r*_binary64 pow1/2_binary64 pow1/3_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 86
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 c0))
6.0ms
(/.f64 A (*.f64 V l))
5.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms
(cbrt.f64 c0)

series420.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 c0))
152.0ms
(cbrt.f64 c0)
60.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
38.0ms
(/.f64 A (*.f64 V l))

simplify159.0ms (3.8%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
049531160
149531160

prune86.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh099
Picked101
Done011
Total9811109

Merged error: 7.3b

Counts
109 → 11
Compiler

Compiled 1980 to 490 computations (75.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.7b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
6.9b
(/.f64 (/.f64 A V) l)
17.5b
(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite49.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
213×times-frac_binary64
134×add-sqr-sqrt_binary64
117×*-un-lft-identity_binary64 add-cube-cbrt_binary64
89×sqrt-prod_binary64
46×associate-*r*_binary64
13×associate-/l*_binary64 div-inv_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
unswap-sqr_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*l*_binary64 rem-sqrt-square_binary64 div-exp_binary64 insert-posit16
sqrt-div_binary64
pow-prod-down_binary64 associate-/l/_binary64 pow1/2_binary64 cbrt-unprod_binary64 associate-*r/_binary64 sqrt-pow1_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
3 → 194
Calls

3 calls:

20.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
9.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))
8.0ms
(/.f64 (/.f64 A V) l)

series206.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

98.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
71.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))
37.0ms
(/.f64 (/.f64 A V) l)

simplify181.0ms (4.3%)

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
049613511
149613511

prune159.0ms (3.8%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1967203
Fresh189
Picked011
Done011
Total19717214

Merged error: 0.0b

Counts
214 → 17
Compiler

Compiled 3272 to 774 computations (76.3% saved)

regimes255.0ms (6.1%)

Compiler

Compiled 1980 to 1664 computations (16% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01635
11635

end0.0ms (0%)

sample1.1s (25.3%)

Algorithm
intervals
Results
311.0ms8000×body80valid
106.0ms2877×body80nan
31.0ms827×body80invalid
Compiler

Compiled 267 to 219 computations (18% saved)

Profiling

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