Details

Time bar (total: 887.0ms)

analyze3.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample16.0ms (1.8%)

Algorithm
1×intervals
Results
10.0ms256×body80valid

simplify5.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0126
1126

prune5.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.8b

Counts
2 → 1

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

30.7b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
1×pow-prod-down_binary64 flip3-+_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64 flip-+_binary64
Counts
1 → 13
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series5.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify65.0ms (7.3%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0481891
1481891

prune27.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.2b

Counts
17 → 5

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 x (sqrt.f64 2))

rewrite8.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 x (sqrt.f64 2))

series5.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(*.f64 x (sqrt.f64 2))

simplify34.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04888133
14888133

prune36.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh033
Picked011
Done011
Total22830

Merged error: 0.1b

Counts
30 → 8

localize6.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite24.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
7×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
4×associate-*l*_binary64
3×sqrt-prod_binary64
2×add-log-exp_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
2 → 46
Calls

2 calls:

14.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series41.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
6.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify54.0ms (6%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05150361

prune66.0ms (7.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh055
Picked011
Done022
Total52860

Merged error: 0.1b

Counts
60 → 8

localize6.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite17.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series13.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
5.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify60.0ms (6.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05070343

prune60.0ms (6.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done033
Total56864

Merged error: 0.1b

Counts
64 → 8

regimes42.0ms (4.7%)

Accuracy

Total 0.3b remaining (70.4%)

Threshold costs 0.3b (70.4%)

bsearch11.0ms (1.3%)

Steps
ItersRangePoint
11
-5.334644425987182e-292
6.177800158714282e-304
3.8265285002463e-311

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03716
13716

end0.0ms (0%)

sample264.0ms (29.7%)

Algorithm
1×intervals
Results
176.0ms8000×body80valid

Profiling

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