Details

Time bar (total: 1.0s)

analyze5.0ms (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

sample11.0ms (1.1%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify5.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0106
1106

prune4.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.8b

Counts
2 → 1

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2.0 (*.f64 x x))
30.7b
(sqrt.f64 (*.f64 2.0 (*.f64 x x)))

rewrite19.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

12.0ms
(sqrt.f64 (*.f64 2.0 (*.f64 x x)))
6.0ms
(*.f64 2.0 (*.f64 x x))

series17.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

13.0ms
(sqrt.f64 (*.f64 2.0 (*.f64 x x)))
4.0ms
(*.f64 2.0 (*.f64 x x))

simplify49.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04914207
14914207

prune51.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*l*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_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 (sqrt.f64 2.0) (fabs.f64 x))

series7.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

7.0ms
(*.f64 (sqrt.f64 2.0) (fabs.f64 x))

simplify50.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04989163
14989163

prune42.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New19625
Fresh202
Picked011
Done011
Total21829

Merged error: 0.0b

Counts
29 → 8

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_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 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2.0)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2.0))))
7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2.0)))

series12.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2.0)))
5.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2.0)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2.0))))

simplify45.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04892406
14892406

prune70.0ms (6.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done022
Total56864

Merged error: 0.0b

Counts
64 → 8

localize9.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls

2 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0))))
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0)))

series30.0ms (2.9%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0)))
5.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0))))

simplify64.0ms (6.2%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05016368

prune63.0ms (6.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New53154
Fresh224
Picked011
Done033
Total55762

Merged error: 0b

Counts
62 → 7

regimes135.0ms (13.2%)

Accuracy

Total 0.4b remaining (97.6%)

Threshold costs 0.4b (97.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample281.0ms (27.3%)

Algorithm
1×intervals
Results
190.0ms8000×body80valid

Profiling

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