Details

Time bar (total: 6.0s)

analyze26.0ms (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
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample392.0ms (6.5%)

Algorithm
1×intervals
Results
378.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify287.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
049759
149759

prune13.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

Counts
2 → 2
Compiler

Compiled 20 to 17 computations (15% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
28.4b
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

rewrite53.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
32×unpow-prod-down_binary64
26×sqrt-prod_binary64
20×distribute-rgt-out_binary64 add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
16×distribute-lft-out_binary64
8×unpow2_binary64 sqr-pow_binary64
4×distribute-lft1-in_binary64 add-log-exp_binary64 distribute-rgt1-in_binary64
3×pow1_binary64
2×flip3-+_binary64 count-2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64 sqrt-div_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 72
Calls

2 calls:

22.0ms
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
16.0ms
(+.f64 (pow.f64 x 2) (pow.f64 x 2))

series72.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
24.0ms
(+.f64 (pow.f64 x 2) (pow.f64 x 2))

simplify115.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
04954639
14954639

prune321.0ms (5.3%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New542478
Fresh101
Picked011
Done000
Total552580

Merged error: 0.1b

Counts
80 → 25
Compiler

Compiled 964 to 621 computations (35.6% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

rewrite12.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
8×pow1_binary64 add-sqr-sqrt_binary64
6×associate-*l*_binary64
5×pow-prod-down_binary64 sqrt-prod_binary64
4×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 sqrt-pow1_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 unswap-sqr_binary64
1×add-log-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 27
Calls

1 calls:

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

series31.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

simplify55.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04851476
14851476

prune182.0ms (3%)

Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New161430
Fresh12223
Picked011
Done011
Total173855

Merged error: 0.0b

Counts
55 → 38
Compiler

Compiled 892 to 570 computations (36.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 x) 2)))

rewrite12.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
8×pow1_binary64 add-sqr-sqrt_binary64
6×associate-*l*_binary64
5×pow-prod-down_binary64 sqrt-prod_binary64
4×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 sqrt-pow1_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 unswap-sqr_binary64
1×add-log-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 27
Calls

1 calls:

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

series35.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 x) 2)))

simplify87.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04838469
14838469

prune195.0ms (3.3%)

Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New161430
Fresh23335
Picked011
Done022
Total185068

Merged error: 0.0b

Counts
68 → 50
Compiler

Compiled 1215 to 834 computations (31.4% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
8×pow1_binary64 add-sqr-sqrt_binary64
6×associate-*l*_binary64
5×pow-prod-down_binary64 sqrt-prod_binary64
4×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 sqrt-pow1_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 unswap-sqr_binary64
1×add-log-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 27
Calls

1 calls:

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

series23.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

simplify76.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04851476
14851476

prune214.0ms (3.6%)

Pruning

62 alts after pruning (58 fresh and 4 done)

PrunedKeptTotal
New171330
Fresh14546
Picked011
Done033
Total186280

Merged error: 0.0b

Counts
80 → 62
Compiler

Compiled 456 to 272 computations (40.4% saved)

regimes1000.0ms (16.6%)

Compiler

Compiled 6070 to 4698 computations (22.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01015
11015

end0.0ms (0%)

sample2.8s (45.8%)

Algorithm
1×intervals
Results
504.0ms8000×body128valid
Compiler

Compiled 1465 to 1125 computations (23.2% saved)

Pareto

0

Profiling

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