Details

Time bar (total: 3.6s)

analyze592.0ms (16.6%)

Algorithm
1×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%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample20.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
2.0ms68×body80invalid

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0677
1677

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
4×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
1×*-un-lft-identity_binary64 associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 clear-num_binary64 frac-2neg_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64
Counts
1 → 21
Calls

1 calls:

6.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series11.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

10.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify55.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05102191

prune48.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.4b
(/.f64 b1 (/.f64 a2 b2))
7.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite38.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
22×div-inv_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
9×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64 associate-/l*_binary64
2×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))

series16.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))

simplify94.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049683909
149683909

prune288.0ms (8.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2693272
Fresh224
Picked011
Done011
Total2717278

Merged error: 0b

Counts
278 → 7

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

8.3b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

rewrite13.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×times-frac_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
13×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
4×cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64
3×pow1_binary64
2×div-inv_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 50
Calls

1 calls:

11.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

series10.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

10.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

simplify61.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05134471

prune60.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh044
Picked011
Done022
Total53760

Merged error: 0b

Counts
60 → 7

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a2)
2.5b
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
4.7b
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
4.8b
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))

rewrite145.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Rules
1413×times-frac_binary64
672×add-sqr-sqrt_binary64
658×*-un-lft-identity_binary64 add-cube-cbrt_binary64
229×cbrt-prod_binary64
218×associate-*r*_binary64
93×associate-/r*_binary64
50×add-exp-log_binary64
38×add-cbrt-cube_binary64
35×div-inv_binary64
21×cbrt-undiv_binary64 div-exp_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
10×associate-/r/_binary64
9×pow1_binary64
6×associate-/l*_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-*r/_binary64 pow1/3_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 672
Calls

4 calls:

56.0ms
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))
21.0ms
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
8.0ms
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
1.0ms
(cbrt.f64 a2)

series98.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

33.0ms
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
30.0ms
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
18.0ms
(cbrt.f64 a2)
16.0ms
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))

simplify105.0ms (3%)

Algorithm
1×egg-herbie
Counts
684 → 684
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0538611036

prune664.0ms (18.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6840684
Fresh033
Picked011
Done033
Total6847691

Merged error: 0b

Counts
691 → 7

regimes666.0ms (18.7%)

Accuracy

Total 2.3b remaining (99.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04456
14456

end0.0ms (0%)

sample526.0ms (14.8%)

Algorithm
1×intervals
Results
231.0ms8000×body80valid
48.0ms1764×body80invalid

Profiling

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