Details

Time bar (total: 1.1s)

analyze3.0ms (0.3%)

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

sample11.0ms (1.1%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify5.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0106
1106

prune4.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.8b

Counts
2 → 1

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

30.7b
(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

rewrite4.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-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
Counts
1 → 12
Calls

1 calls:

4.0ms
(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

series5.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

simplify127.0ms (12%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
0467580
1467580

prune31.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 x (sqrt.f64 2.0))

rewrite6.0ms (0.5%)

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:

5.0ms
(*.f64 x (sqrt.f64 2.0))

series5.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(*.f64 x (sqrt.f64 2.0))

simplify48.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04990133
14990133

prune38.0ms (3.6%)

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 (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

rewrite22.0ms (2.1%)

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:

12.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))
8.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))

series43.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

38.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
5.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

simplify55.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05049289

prune64.0ms (6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh055
Picked011
Done022
Total52860

Merged error: 0.1b

Counts
60 → 8

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

rewrite18.0ms (1.7%)

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 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))

series13.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))
5.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

simplify57.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05078343

prune61.0ms (5.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done033
Total56864

Merged error: 0.1b

Counts
64 → 8

regimes128.0ms (12.1%)

Accuracy

Total 0.3b remaining (70.4%)

Threshold costs 0.3b (70.4%)

bsearch14.0ms (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
03816
13816

end0.0ms (0%)

sample275.0ms (26.1%)

Algorithm
1×intervals
Results
184.0ms8000×body80valid

Profiling

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