Details

Time bar (total: 4.2s)

analyze485.0ms

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

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms102×body128nan
1.0ms22×body128invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.2b
(/.f64 A (*.f64 V l))
17.2b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite21.0ms

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
9×times-frac_binary64
6×pow1_binary64
3×add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 div-inv_binary64
2×cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 sqrt-div_binary64
1×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 → 66
Calls
3 calls:
9.0ms
(*.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)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
35.0ms
(/.f64 A (*.f64 V l))
58.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify94.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04789857
14789857

prune67.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New621375
Fresh000
Picked101
Done000
Total631376

Merged error: 6.6b

Counts
76 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
1.4b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
4.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
17.2b
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
28×times-frac_binary64
27×add-exp-log_binary64
26×associate-*r*_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64
20×add-cbrt-cube_binary64
14×cbrt-prod_binary64
11×pow1_binary64
10×associate-*l*_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
7×cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64
6×associate-*r/_binary64 sqrt-div_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64
2×sqrt-pow1_binary64 div-inv_binary64 sqrt-prod_binary64 *-commutative_binary64
1×pow1/2_binary64 pow1/3_binary64
Counts
4 → 106
Calls
4 calls:
1.0ms
(cbrt.f64 A)
13.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
16.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
9.0ms
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt.f64 A)
142.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
76.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
89.0ms
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

simplify98.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049351503
149351503

prune86.0ms

Filtered
90 candidates to 118 candidates (-31.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1144118
Fresh21012
Picked011
Done000
Total11615131

Merged error: 4.8b

Counts
131 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

1.4b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
4.7b
(*.f64 (/.f64 1 V) (/.f64 A l))
17.2b
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
25×times-frac_binary64
22×add-exp-log_binary64
21×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
17×associate-*r*_binary64 add-cbrt-cube_binary64
16×associate-*l*_binary64
10×pow1_binary64
7×unswap-sqr_binary64 prod-exp_binary64
6×associate-*r/_binary64 sqrt-div_binary64
5×cbrt-unprod_binary64 div-exp_binary64
4×cbrt-undiv_binary64
3×pow-prod-down_binary64 add-log-exp_binary64 frac-times_binary64 associate-*l/_binary64
2×sqrt-pow1_binary64 rec-exp_binary64 div-inv_binary64 sqrt-prod_binary64 *-commutative_binary64
1×pow1/2_binary64
Counts
3 → 90
Calls
3 calls:
10.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
15.0ms
(*.f64 (/.f64 1 V) (/.f64 A l))
6.0ms
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))))
35.0ms
(*.f64 (/.f64 1 V) (/.f64 A l))
90.0ms
(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify86.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
052331116

prune62.0ms

Filtered
69 candidates to 99 candidates (-43.5%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh01313
Picked011
Done011
Total9816114

Merged error: 4.8b

Counts
114 → 16

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.f64 1 (/.f64 V (/.f64 A l)))
1.4b
(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
4.5b
(/.f64 V (/.f64 A l))
17.2b
(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
1155×times-frac_binary64
574×add-sqr-sqrt_binary64
539×*-un-lft-identity_binary64
533×add-cube-cbrt_binary64
281×sqrt-prod_binary64
140×associate-*r*_binary64
57×associate-/r*_binary64
48×div-inv_binary64
26×add-exp-log_binary64
20×add-cbrt-cube_binary64
14×associate-/r/_binary64
12×div-exp_binary64
9×pow1_binary64 cbrt-undiv_binary64
8×unswap-sqr_binary64
7×rem-sqrt-square_binary64
6×associate-/l*_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64 sqrt-pow1_binary64 rec-exp_binary64
2×clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64 sqrt-div_binary64
1×pow-prod-down_binary64 pow1/2_binary64 cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 590
Calls
4 calls:
14.0ms
(/.f64 1 (/.f64 V (/.f64 A l)))
49.0ms
(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
6.0ms
(/.f64 V (/.f64 A l))
22.0ms
(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/.f64 1 (/.f64 V (/.f64 A l)))
102.0ms
(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
38.0ms
(/.f64 V (/.f64 A l))
104.0ms
(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

simplify200.0ms

Algorithm
egg-herbie
Counts
602 → 602
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
0500212550

prune575.0ms

Filtered
427 candidates to 602 candidates (-41.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New58814602
Fresh8513
Picked101
Done202
Total59919618

Merged error: 0.1b

Counts
618 → 19

regimes187.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01945
11945

end0.0ms

sample720.0ms

Algorithm
intervals
Results
287.0ms8000×body128valid
103.0ms2999×body128nan
28.0ms823×body128invalid

Profiling

Loading profile data...